10012022112120 has 128 divisors (see below), whose sum is σ = 35027482752000. Its totient is φ = 2288462187648.

The previous prime is 10012022112107. The next prime is 10012022112137. The reversal of 10012022112120 is 2121122021001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10012022112120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121582044 + ... + 121664363.

It is an arithmetic number, because the mean of its divisors is an integer number (273652209000).

Almost surely, 2^{10012022112120} is an apocalyptic number.

10012022112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012022112120 is an abundant number, since it is smaller than the sum of its proper divisors (25015460639880).

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

10012022112120 is a wasteful number, since it uses less digits than its factorization.

10012022112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243246442 (or 243246424 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10012022112120 its reverse (2121122021001), we get a palindrome (12133144133121).

The spelling of 10012022112120 in words is "ten trillion, twelve billion, twenty-two million, one hundred twelve thousand, one hundred twenty".