Let's take a slightly different approach. Assume it is indeed possible to do this. How, then, do you print it? Take this trivial C program:

#include <stdio.h>
void main(){
  int i;
  for(i=1;i<=100;i++){
    printf("%i\n",1);
  }
}
    

That simply prints out the number 1 one hundred times. I ran this 100 times and timed it, the average time taken per run was:

$ time ./printOne >/dev/null

real    0m0.004s
user    0m0.001s
sys     0m0.003s

So, around 0.004 seconds, that's one millisecond on my relatively powerful laptop. Let's be generous though and imagine a machine orders of magnitude faster, let's say it can print 100 lines in one nanosecond, so 1000000 times faster. That's 10^-9 seconds, or 0.000000001 seconds.

Now, let's also ignore the time it would take to actually calculate the numbers and let's just imagine that a magical solution calculates them in no time. So now, all we have to do is use our super fast printing program to print out these numbers. Since we know it can print out 100 lines in one nanosecond, that means it will take 10¹³⁶ / 100 = 10¹³⁴ nanoseconds to print out 10¹³⁶ lines. 10¹³⁶ nanoseconds is 3.1688739 x 10¹¹⁷ years, just to print out the data without even calculating it! And, because that number isn't easy to understand, it means this many years:

31688739000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

The estimated time for the heat death of the universe is around 10¹⁰⁶ years from now. This means that only to print your data would take a computer that is orders of magnitude faster than anything we have more time than the rest of the life of the entire universe. In fact it will take orders of magnitude more time than the life of the universe.

So sure, while you could argue this is actually possible, it is a very useless meaning of the word possible since any way you look at it, neither us nor the universe we rode in on will be around by the time it finishes. Printing.

Let's take a slightly different approach. Assume it is indeed possible to do this. How, then, do you print it? Take this trivial C program:

#include <stdio.h>
void main(){
  int i;
  for(i=1;i<=100;i++){
    printf("%i\n",1);
  }
}
    

That simply prints out the number 1 one hundred times. I ran this 100 times and timed it, the average time taken per run was:

$ time ./printOne >/dev/null

real    0m0.004s
user    0m0.001s
sys     0m0.003s

So, around 0.004 seconds, that's one millisecond on my relatively powerful laptop. Let's be generous though and imagine a machine orders of magnitude faster, let's say it can print 100 lines in one nanosecond (10^-9 seconds, or 0.000000001 seconds), so 1000000 times faster.

Now, let's also ignore the time it would take to actually calculate the numbers and let's just imagine that a magical solution calculates them in no time. So now, all we have to do is use our super fast printing program to print out these numbers. Since we know it can print out 100 lines in one nanosecond, that means it will take 10¹³⁶ / 100 = 10¹³⁴ nanoseconds to print out 10¹³⁶ lines. 10¹³⁶ nanoseconds is 3.1688739 x 10¹¹⁷ years, just to print out the data without even calculating it! And, because that number isn't easy to understand, it means this many years:

31688739000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

The estimated time for the heat death of the universe is around 10¹⁰⁶ years from now. This means that only to print your data would take a computer that is orders of magnitude faster than anything we have more time than the rest of the life of the entire universe. In fact it will take orders of magnitude more time than the life of the universe.

So sure, while you could argue this is actually possible, it is a very useless meaning of the word possible since any way you look at it, neither us nor the universe we rode in on will be around by the time it finishes. Printing.