A googolplex as 'written out' cannot be represented in our universe. If you use the particles in the universe as zeroas, then with the bulk of our universes' particles being expressed as the baryons, the photons and the neutrinos, you'd find about 10100 only. That is just a googol. A mere googol.
You could use each Planck volume, which is about 10-105 cubic meters, as some sort of expression of maximum packing of our universe. The universe being about 90 billion lightyears in diameter (for simplicity, call it a box 100 billion lightyears on a side), and each lightyear being about 10 quadrillion meters, then you end up with a universe box that is about 1081 cubic meters in volume. Hence, you have 10186 Planck volumes in our universe. That is far short of representing a googolplex.