21100111112200 has 96 divisors (see below), whose sum is σ = 54677377879200. Its totient is φ = 7525488522240.

The previous prime is 21100111112131. The next prime is 21100111112203. The reversal of 21100111112200 is 221111100112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21100111112203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163248954 + ... + 163378153.

It is an arithmetic number, because the mean of its divisors is an integer number (569556019575).

Almost surely, 2^{21100111112200} is an apocalyptic number.

21100111112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100111112200 is an abundant number, since it is smaller than the sum of its proper divisors (33577266767000).

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

21100111112200 is a wasteful number, since it uses less digits than its factorization.

21100111112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326627159 (or 326627150 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 21100111112200 its reverse (221111100112), we get a palindrome (21321222212312).

The spelling of 21100111112200 in words is "twenty-one trillion, one hundred billion, one hundred eleven million, one hundred twelve thousand, two hundred".