10122121120 has 24 divisors (see below), whose sum is σ = 23913511524. Its totient is φ = 4048848384.

The previous prime is 10122121091. The next prime is 10122121157. The reversal of 10122121120 is 2112122101.

10122121120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9612625936 + 509495184 = 98044^2 + 22572^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10122121120.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 31631469 + ... + 31631788.

Almost surely, 2^10122121120 is an apocalyptic number.

10122121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122121120 is an abundant number, since it is smaller than the sum of its proper divisors (13791390404).

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

10122121120 is an equidigital number, since it uses as much as digits as its factorization.

10122121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63263272 (or 63263264 counting only the distinct ones).

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

Adding to 10122121120 its reverse (2112122101), we get a palindrome (12234243221).

The spelling of 10122121120 in words is "ten billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".