10000112120 has 64 divisors (see below), whose sum is σ = 22665424320. Its totient is φ = 3970796544.

The previous prime is 10000112117. The next prime is 10000112131. The reversal of 10000112120 is 2121100001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10000112098 and 10000112107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3291242 + ... + 3294278.

It is an arithmetic number, because the mean of its divisors is an integer number (354147255).

Almost surely, 2^10000112120 is an apocalyptic number.

10000112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000112120 is an abundant number, since it is smaller than the sum of its proper divisors (12665312200).

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

10000112120 is a wasteful number, since it uses less digits than its factorization.

10000112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624 (or 3620 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10000112120 its reverse (2121100001), we get a palindrome (12121212121).

The spelling of 10000112120 in words is "ten billion, one hundred twelve thousand, one hundred twenty".