21100112002200 has 192 divisors, whose sum is σ = 81550562929920. Its totient is φ = 4384438848000.

The previous prime is 21100112002199. The next prime is 21100112002213. The reversal of 21100112002200 is 220021100112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 228309991 + ... + 228402390.

It is an arithmetic number, because the mean of its divisors is an integer number (424742515260).

Almost surely, 2^{21100112002200} is an apocalyptic number.

21100112002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100112002200 is an abundant number, since it is smaller than the sum of its proper divisors (60450450927720).

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

21100112002200 is a wasteful number, since it uses less digits than its factorization.

21100112002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456712418 (or 456712409 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21100112002200 its reverse (220021100112), we get a palindrome (21320133102312).

The spelling of 21100112002200 in words is "twenty-one trillion, one hundred billion, one hundred twelve million, two thousand, two hundred".