10120120211310 has 32 divisors (see below), whose sum is σ = 24304236278400. Its totient is φ = 2696926748448.

The previous prime is 10120120211309. The next prime is 10120120211323. The reversal of 10120120211310 is 1311202102101.

10120120211310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10120120211310² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10120120211310.

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, 110701960 + ... + 110793339.

It is an arithmetic number, because the mean of its divisors is an integer number (759507383700).

Almost surely, 2^{10120120211310} is an apocalyptic number.

10120120211310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120120211310 is an abundant number, since it is smaller than the sum of its proper divisors (14184116067090).

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

10120120211310 is a wasteful number, since it uses less digits than its factorization.

10120120211310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221496832.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10120120211310 its reverse (1311202102101), we get a palindrome (11431322313411).

The spelling of 10120120211310 in words is "ten trillion, one hundred twenty billion, one hundred twenty million, two hundred eleven thousand, three hundred ten".