10122120102320 has 80 divisors (see below), whose sum is σ = 25178664816480. Its totient is φ = 3772869580800.

The previous prime is 10122120102317. The next prime is 10122120102329. The reversal of 10122120102320 is 2320102122101.

10122120102320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10122120102329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54491621 + ... + 54677060.

It is an arithmetic number, because the mean of its divisors is an integer number (314733310206).

Almost surely, 2^{10122120102320} is an apocalyptic number.

10122120102320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122120102320 is an abundant number, since it is smaller than the sum of its proper divisors (15056544714160).

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

10122120102320 is a wasteful number, since it uses less digits than its factorization.

10122120102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109168774 (or 109168768 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10122120102320 its reverse (2320102122101), we get a palindrome (12442222224421).

The spelling of 10122120102320 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, one hundred two thousand, three hundred twenty".