CrazyBridge
No, this cannot be done with standard tools. Because there is no representation for any integer larger than 64 bit in most languages. C and C++ have both a long long type, but that's defined as having at least 64 bit, and more is not guaranteed. Any way, this is way too low.
In GDscript you will need to write your own generator. The simplest form will be to generate one hundred digits as suggested by DaveTheCoder , but you still need a data structure to store these and perform any arithmetic operation down the line you might want to do with it. Anything more sophisticated needs more calculus. Random numbers of large sizes are used in cryptography contexts. And of course there are online generators if this is a one time thing.
Python can handle and do arithmetic with large numbers, but is very slow with it. You can write a Python library for such large random numbers (if it doesn't already exist) and integrate that into Godot. There should be a way to do so.
