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Assuming you mean whole numbers and leading zeros do not count, the smallest 3 digit number is 100.
If you mean what do you call a number with only 1 and itself as factors, then it is a prime number.
If you mean Lakh, one Lakh is 100,000 so 5 zeros
The number sqrt(2) has no zeros in it, only the digit 2!If you mean that the decimal representation has no 2 in it, you could create an infinite decimal fraction by selecting, at random, a digit from the set {1,2,3,...,9}. Clearly it cannot have a 0 in it and, thanks to the randomness, it will be irrational.
"Forthtillion" doesn't appear in any of my reference works. If you mean quadrillion, that's 15 zeros. If you made it up, you can have as many zeros as you want.