Definitions
from The American Heritage® Dictionary of the English Language, 5th Edition.
 noun The number 10 raised to the power googol, written out as the numeral 1 followed by 10^{100} zeros.
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 noun cardinal The number , ten to the power of a
googol
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
 noun a cardinal number represented as 1 followed by a googol of zeros (ten raised to the power of a googol)
Etymologies
from The American Heritage® Dictionary of the English Language, 4th Edition
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Examples

Employees dubbed it the Googleplex, a pun on the mathematical term googolplex, meaning an unthinkably large number.
In the Plex Steven Levy 2011

Employees dubbed it the Googleplex, a pun on the mathematical term googolplex, meaning an unthinkably large number.
In the Plex Steven Levy 2011

If you don't know what 'googolplex' is, allow me to explain it to you.
Recent Activity 2010

If you don't know what 'googolplex' is, allow me to explain it to you.
Recent Activity 2010

If you don't know what 'googolplex' is, allow me to explain it to you.
Recent Activity 2010

If that's not mindboggling enough, a "googolplex" is a number with a googol number of zeros.
unknown title 2009

Cofounder Larry Page apparently misspelled the first half of "googolplex"  shorthand for a really big numberand, voila!
The New Yorker Reeves Wiedeman 2010

Cofounder Larry Page apparently misspelled the first half of "googolplex"  shorthand for a really big numberand, voila!
The New Yorker Reeves Wiedeman 2010

I think googolplex is good in Scrabble.

I was once charged a googolplex for a beer.
oroboros commented on the word googolplex
10^{googol}
October 8, 2007
thesuperiorbeing commented on the word googolplex
You see, Googol is a number with one hundred zero's (you know, a million has 6 zero's a hundred has 2... well this one has 100). But Googolplex is a number with GOOGOL zero's. Also, if you tried to write googolplex down (the number, not the word),  even if each digit was the size of an ATOM  then it wouldn't fit inside the UNIVERSE. Impressive, eh?
February 23, 2008
gangerh commented on the word googolplex
Great googolplexplanation, TSB.
February 24, 2008
thesuperiorbeing commented on the word googolplex
Why thank you, gangerh. And great pun!
February 24, 2008
seanahan commented on the word googolplex
Actually, mathematically speaking, you can view this number as tiny. Now Skewes number, that's freaking huge.
February 26, 2008
technologiez commented on the word googolplex
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July 10, 2010