10022400431129 has 8 divisors (see below), whose sum is σ = 10611981244008. Its totient is φ = 9432822712320.

The previous prime is 10022400431107. The next prime is 10022400431149. The reversal of 10022400431129 is 92113400422001.

It can be written as a sum of positive squares in 4 ways, for example, as 1203145734400 + 8819254696729 = 1096880^2 + 2969723^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10022400431129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10022400431149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11124689 + ... + 11991809.

It is an arithmetic number, because the mean of its divisors is an integer number (1326497655501).

Almost surely, 2^{10022400431129} is an apocalyptic number.

It is an amenable number.

10022400431129 is a deficient number, since it is larger than the sum of its proper divisors (589580812879).

10022400431129 is an equidigital number, since it uses as much as digits as its factorization.

10022400431129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547035.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 10022400431129 in words is "ten trillion, twenty-two billion, four hundred million, four hundred thirty-one thousand, one hundred twenty-nine".