10112122120 has 32 divisors (see below), whose sum is σ = 22915972800. Its totient is φ = 4015747008.

The previous prime is 10112122103. The next prime is 10112122123. The reversal of 10112122120 is 2122121101.

10112122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10112122120.

It is not an unprimeable number, because it can be changed into a prime (10112122123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 903804 + ... + 914923.

It is an arithmetic number, because the mean of its divisors is an integer number (716124150).

Almost surely, 2^10112122120 is an apocalyptic number.

10112122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112122120 is an abundant number, since it is smaller than the sum of its proper divisors (12803850680).

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

10112122120 is a wasteful number, since it uses less digits than its factorization.

10112122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818877 (or 1818873 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10112122120 its reverse (2122121101), we get a palindrome (12234243221).

The spelling of 10112122120 in words is "ten billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".