21102122120112 has 90 divisors (see below), whose sum is σ = 64913489695236. Its totient is φ = 6394582455360.

The previous prime is 21102122120083. The next prime is 21102122120159.

21102122120112 is a `hidden beast` number, since 211 + 0 + 21 + 221 + 201 + 12 = 666.

21102122120112 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 605530158 + ... + 605565005.

Almost surely, 2^{21102122120112} is an apocalyptic number.

21102122120112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21102122120112 is an abundant number, since it is smaller than the sum of its proper divisors (43811367575124).

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

21102122120112 is a wasteful number, since it uses less digits than its factorization.

21102122120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211095199 (or 1211095179 counting only the distinct ones).

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

It can be divided in two parts, 2110212 and 2120112, that added together give a palindrome (4230324).

The spelling of 21102122120112 in words is "twenty-one trillion, one hundred two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twelve".