21100211121200 has 60 divisors (see below), whose sum is σ = 50734239214560. Its totient is φ = 8433261223680.

The previous prime is 21100211121179. The next prime is 21100211121257. The reversal of 21100211121200 is 212111200112.

It is a super-2 number, since 2×21100211121200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20827160 + ... + 21816759.

It is an arithmetic number, because the mean of its divisors is an integer number (845570653576).

Almost surely, 2^{21100211121200} is an apocalyptic number.

21100211121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100211121200 is an abundant number, since it is smaller than the sum of its proper divisors (29634028093360).

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

21100211121200 is a wasteful number, since it uses less digits than its factorization.

21100211121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42645174 (or 42645163 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21100211121200 its reverse (212111200112), we get a palindrome (21312322321312).

The spelling of 21100211121200 in words is "twenty-one trillion, one hundred billion, two hundred eleven million, one hundred twenty-one thousand, two hundred".