22121101110000 has 200 divisors, whose sum is σ = 73872275867280. Its totient is φ = 5695547648000.

The previous prime is 22121101109993. The next prime is 22121101110007. The reversal of 22121101110000 is 1110112122.

It is an interprime number because it is at equal distance from previous prime (22121101109993) and next prime (22121101110007).

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×22121101110000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121101110007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11843277 + ... + 13583276.

Almost surely, 2^{22121101110000} is an apocalyptic number.

22121101110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121101110000 is an abundant number, since it is smaller than the sum of its proper divisors (51751174757280).

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

22121101110000 is a wasteful number, since it uses less digits than its factorization.

22121101110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25426613 (or 25426592 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22121101110000 its reverse (1110112122), we get a palindrome (22122211222122).

The spelling of 22121101110000 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred one million, one hundred ten thousand".