10010120113 has 64 divisors (see below), whose sum is σ = 12716605440. Its totient is φ = 7689390912.

The previous prime is 10010120063. The next prime is 10010120129. The reversal of 10010120113 is 31102101001.

10010120113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-10010120113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010120113.

It is not an unprimeable number, because it can be changed into a prime (10010120143) 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 63 ways as a sum of consecutive naturals, for example, 44888320 + ... + 44888542.

It is an arithmetic number, because the mean of its divisors is an integer number (198696960).

Almost surely, 2^10010120113 is an apocalyptic number.

It is an amenable number.

10010120113 is a deficient number, since it is larger than the sum of its proper divisors (2706485327).

10010120113 is a wasteful number, since it uses less digits than its factorization.

10010120113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10010120113 its reverse (31102101001), we get a palindrome (41112221114).

The spelling of 10010120113 in words is "ten billion, ten million, one hundred twenty thousand, one hundred thirteen".