The word googol was first used by 9-year-old Milton Sirotta, nephew of U.S. mathematician Edward Kasner. Sirotta made this word in 1938, for the number represented by the numeral 1 followed by 100 zeros. It is said that the word "googol" was chosen to represent this number because it sounded like baby talk.
A googol is 10100 (or 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000).
A googolplex is 10googol.
The company Google was named after the number "googol". It was named this because it was said that Google had a googol search results.