The word "zillion" exists as a colloquial term, but not as a defined numerical value.
Essentially, "zillion" isn't a real number in the mathematical sense. It's an informal word used to describe a very large, unspecified quantity. Think of it as a synonym for "bazillion," "gazillion," or even just "a lot."
Think of it this way:
-
Real Numbers: These are precisely defined values, like 1, 100, 3.14 (pi), or one million (1,000,000).
-
"Zillion": This is an expression to exaggerate the amount of something. For instance, you might say, "I have a zillion things to do today," but you don't literally mean you have a specific number of tasks. It just means you have a lot.
Therefore, while the word "zillion" exists in the English language and is used in everyday conversation, it doesn't represent a concrete, definable number. It's an adjective signifying a large, indeterminate amount.