How many 0s does a googleplex have?

This is not a great explanation but I'll try.

The gogaplex was invented by some crazy mathematician who basically said that you keep writing 0's after a 1 till your hand gets tired. It has come to 100 0's after a 1 or 1*10^100. It is 1 followed by a googol of 0's which is 100.

What you have, googleplex, is a building for the corporate headquarters for google.