10221122012112 has 120 divisors (see below), whose sum is σ = 31966502637888. Its totient is φ = 3021765542400.

The previous prime is 10221122012077. The next prime is 10221122012141. The reversal of 10221122012112 is 21121022112201.

10221122012112 is a `hidden beast` number, since 10 + 221 + 1 + 220 + 1 + 211 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78626868 + ... + 78756755.

Almost surely, 2^{10221122012112} is an apocalyptic number.

10221122012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221122012112 is an abundant number, since it is smaller than the sum of its proper divisors (21745380625776).

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

10221122012112 is a wasteful number, since it uses less digits than its factorization.

10221122012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157383689 (or 157383680 counting only the distinct ones).

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

Adding to 10221122012112 its reverse (21121022112201), we get a palindrome (31342144124313).

The spelling of 10221122012112 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-two million, twelve thousand, one hundred twelve".