22100012023200 has 144 divisors (see below), whose sum is σ = 72297025819200. Its totient is φ = 5863721656320.

The previous prime is 22100012023123. The next prime is 22100012023211. The reversal of 22100012023200 is 232021000122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22100012023200.

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 23 ways as a sum of consecutive naturals, for example, 22658929 + ... + 23614128.

It is an arithmetic number, because the mean of its divisors is an integer number (502062679300).

Almost surely, 2^{22100012023200} is an apocalyptic number.

22100012023200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100012023200 is an abundant number, since it is smaller than the sum of its proper divisors (50197013796000).

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

22100012023200 is a wasteful number, since it uses less digits than its factorization.

22100012023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46273279 (or 46273266 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22100012023200 its reverse (232021000122), we get a palindrome (22332033023322).

The spelling of 22100012023200 in words is "twenty-two trillion, one hundred billion, twelve million, twenty-three thousand, two hundred".