How much zeros does a googol plex have?

A googol plex has so many zeros that even if you wrote one Zero on every atom in the entire universe there still wouldn't be enough. But as for your question:

10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000.

This number is called a googol. So Googol Plex= 1googol