10120312101120 has 144 divisors (see below), whose sum is σ = 34808035157952. Its totient is φ = 2491153735680.

The previous prime is 10120312101071. The next prime is 10120312101157. The reversal of 10120312101120 is 2110121302101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10120312101120.

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 15 ways as a sum of consecutive naturals, for example, 101315386 + ... + 101415225.

Almost surely, 2^{10120312101120} is an apocalyptic number.

10120312101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120312101120 is an abundant number, since it is smaller than the sum of its proper divisors (24687723056832).

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

10120312101120 is a wasteful number, since it uses less digits than its factorization.

10120312101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202730648 (or 202730634 counting only the distinct ones).

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

Adding to 10120312101120 its reverse (2110121302101), we get a palindrome (12230433403221).

The spelling of 10120312101120 in words is "ten trillion, one hundred twenty billion, three hundred twelve million, one hundred one thousand, one hundred twenty".