10022113314129 has 32 divisors (see below), whose sum is σ = 15339873669120. Its totient is φ = 5701404240000.

The previous prime is 10022113314107. The next prime is 10022113314131. The reversal of 10022113314129 is 92141331122001.

It is not a de Polignac number, because 10022113314129 - 2⁸ = 10022113313873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10022113314096 and 10022113314105.

It is not an unprimeable number, because it can be changed into a prime (10022113314139) 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 31 ways as a sum of consecutive naturals, for example, 18254629 + ... + 18795629.

It is an arithmetic number, because the mean of its divisors is an integer number (479371052160).

Almost surely, 2^{10022113314129} is an apocalyptic number.

It is an amenable number.

10022113314129 is a deficient number, since it is larger than the sum of its proper divisors (5317760354991).

10022113314129 is a wasteful number, since it uses less digits than its factorization.

10022113314129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544941.

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 10022113314129 in words is "ten trillion, twenty-two billion, one hundred thirteen million, three hundred fourteen thousand, one hundred twenty-nine".