22112100102200 has 48 divisors (see below), whose sum is σ = 51412800940080. Its totient is φ = 8844467016960.

The previous prime is 22112100102149. The next prime is 22112100102217. The reversal of 22112100102200 is 220100121122.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2447117 + ... + 7086083.

It is an arithmetic number, because the mean of its divisors is an integer number (1071100019585).

Almost surely, 2^{22112100102200} is an apocalyptic number.

22112100102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22112100102200 is an abundant number, since it is smaller than the sum of its proper divisors (29300700837880).

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

22112100102200 is a wasteful number, since it uses less digits than its factorization.

22112100102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662816 (or 4662807 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22112100102200 its reverse (220100121122), we get a palindrome (22332200223322).

The spelling of 22112100102200 in words is "twenty-two trillion, one hundred twelve billion, one hundred million, one hundred two thousand, two hundred".