21100122122112 has 96 divisors (see below), whose sum is σ = 66237599315160. Its totient is φ = 6393976396800.

The previous prime is 21100122122039. The next prime is 21100122122113. The reversal of 21100122122112 is 21122122100112.

21100122122112 is a `hidden beast` number, since 211 + 0 + 0 + 1 + 221 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100122122113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 832536339 + ... + 832561682.

Almost surely, 2^{21100122122112} is an apocalyptic number.

21100122122112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21100122122112 is an abundant number, since it is smaller than the sum of its proper divisors (45137477193048).

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

21100122122112 is a wasteful number, since it uses less digits than its factorization.

21100122122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665098052 (or 1665098037 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21100122122112 its reverse (21122122100112), we get a palindrome (42222244222224).

The spelling of 21100122122112 in words is "twenty-one trillion, one hundred billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".