21122102120112 has 120 divisors (see below), whose sum is σ = 67645052835360. Its totient is φ = 6027038392320.

The previous prime is 21122102120099. The next prime is 21122102120113. The reversal of 21122102120112 is 21102120122112.

21122102120112 is a `hidden beast` number, since 211 + 221 + 0 + 2 + 120 + 112 = 666.

It is a super-2 number, since 2×21122102120112² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21122102120113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12849339 + ... + 14399642.

It is an arithmetic number, because the mean of its divisors is an integer number (563708773628).

Almost surely, 2^{21122102120112} is an apocalyptic number.

It is an amenable number.

21122102120112 is an abundant number, since it is smaller than the sum of its proper divisors (46522950715248).

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

21122102120112 is a wasteful number, since it uses less digits than its factorization.

21122102120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27249771 (or 27249762 counting only the distinct ones).

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

Adding to 21122102120112 its reverse (21102120122112), we get a palindrome (42224222242224).

The spelling of 21122102120112 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred two million, one hundred twenty thousand, one hundred twelve".