10112120 has 32 divisors (see below), whose sum is σ = 22986720. Its totient is φ = 4003200.

The previous prime is 10112101. The next prime is 10112129. The reversal of 10112120 is 2121101.

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 = 10112098 and 10112107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2789 + ... + 5291.

It is an arithmetic number, because the mean of its divisors is an integer number (718335).

Almost surely, 2^10112120 is an apocalyptic number.

10112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112120 is an abundant number, since it is smaller than the sum of its proper divisors (12874600).

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

10112120 is a wasteful number, since it uses less digits than its factorization.

10112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2611 counting only the distinct ones).

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

The square root of 10112120 is about 3179.9559745380. The cubic root of 10112120 is about 216.2456624254.

Adding to 10112120 its reverse (2121101), we get a palindrome (12233221).

It can be divided in two parts, 101 and 12120, that added together give a palindrome (12221).

The spelling of 10112120 in words is "ten million, one hundred twelve thousand, one hundred twenty".