21122102112012 has 108 divisors (see below), whose sum is σ = 58938931364040. Its totient is φ = 6373166152320.

The previous prime is 21122102112011. The next prime is 21122102112071. The reversal of 21122102112012 is 21021120122112.

21122102112012 is a `hidden beast` number, since 211 + 2 + 210 + 211 + 20 + 12 = 666.

It is a super-2 number, since 2×21122102112012² (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 (21122102112011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9390562 + ... + 11420457.

Almost surely, 2^{21122102112012} is an apocalyptic number.

21122102112012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21122102112012 is an abundant number, since it is smaller than the sum of its proper divisors (37816829252028).

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

21122102112012 is a wasteful number, since it uses less digits than its factorization.

21122102112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20811284 (or 20811268 counting only the distinct ones).

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

Adding to 21122102112012 its reverse (21021120122112), we get a palindrome (42143222234124).

The spelling of 21122102112012 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred two million, one hundred twelve thousand, twelve".