googolplex

As a numeral googolplex is

(cardinal) the number $10^\{10^\{100\}\}$, ten to the power of a googol.

As a numeral googolplex

is (cardinal) the number $10^\{10^\{100\}\}$, ten to the power of a googol.

As a noun tree is

a large plant, not exactly defined, but typically over four meters in height, a single trunk which grows in girth with age and branches (which also grow in circumference with age).

As a verb tree is

to chase (an animal or person) up a tree.

As numerals the difference between centillion and googolplex

is that centillion is (short scale) 10³⁰³ while googolplex is the number $10^\{10^\{100\}\}$, ten to the power of a googol.

As numerals the difference between googolplex and infinite

is that googolplex is the number $10^\{10^\{100\}\}$, ten to the power of a googol while infinite is infinitely many.

As an adjective infinite is

indefinably large, countlessly great; immense.

As a numeral googolplex

is the number $10^\{10^\{100\}\}$, ten to the power of a googol.

As a noun infinity is

endlessness, unlimitedness, absence of end or limit.