Ahh, you've discovered the argument that proves there is no largest number.
Yes, Google's name derives from 'googol', as this extract from the Wiki article indicates...
Eventually, they changed the name to Google; the name of the search engine originated from a misspelling of the word "googol",[33][34] the number 1 followed by 100 zeros, which was picked to signify that the search engine was intended to provide large quantities of information.[35]
Also, from the same article, ...
Google moved to its headquarters in Mountain View, California, nicknamed the Googleplex. In August 2015

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