10010022100113 has 32 divisors (see below), whose sum is σ = 16057164682240. Its totient is φ = 5418625584960.

The previous prime is 10010022100097. The next prime is 10010022100147. The reversal of 10010022100113 is 31100122001001.

It is not a de Polignac number, because 10010022100113 - 2⁴ = 10010022100097 is a prime.

It is a super-2 number, since 2×10010022100113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10010022101113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5783631 + ... + 7312347.

It is an arithmetic number, because the mean of its divisors is an integer number (501786396320).

Almost surely, 2^{10010022100113} is an apocalyptic number.

It is an amenable number.

10010022100113 is a deficient number, since it is larger than the sum of its proper divisors (6047142582127).

10010022100113 is a wasteful number, since it uses less digits than its factorization.

10010022100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545157.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10010022100113 its reverse (31100122001001), we get a palindrome (41110144101114).

The spelling of 10010022100113 in words is "ten trillion, ten billion, twenty-two million, one hundred thousand, one hundred thirteen".