21100100200200 has 360 divisors, whose sum is σ = 85248474928650. Its totient is φ = 4822879864320.

The previous prime is 21100100200199. The next prime is 21100100200211. The reversal of 21100100200200 is 200200100112.

It can be written as a sum of positive squares in 3 ways, for example, as 20425826016036 + 674274184164 = 4519494^2 + 821142^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 12496765 + ... + 14084364.

Almost surely, 2^{21100100200200} is an apocalyptic number.

21100100200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100100200200 is an abundant number, since it is smaller than the sum of its proper divisors (64148374728450).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21100100200200 is a wasteful number, since it uses less digits than its factorization.

21100100200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26581171 (or 26581146 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21100100200200 its reverse (200200100112), we get a palindrome (21300300300312).

The spelling of 21100100200200 in words is "twenty-one trillion, one hundred billion, one hundred million, two hundred thousand, two hundred".