10404142112129 has 16 divisors (see below), whose sum is σ = 11203491983040. Its totient is φ = 9625626547200.

The previous prime is 10404142112093. The next prime is 10404142112131. The reversal of 10404142112129 is 92121124140401.

It is a cyclic number.

It is not a de Polignac number, because 10404142112129 - 2⁸ = 10404142111873 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10404142112095 and 10404142112104.

It is not an unprimeable number, because it can be changed into a prime (10404142112729) 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 15 ways as a sum of consecutive naturals, for example, 18225257 + ... + 18787449.

It is an arithmetic number, because the mean of its divisors is an integer number (700218248940).

Almost surely, 2^{10404142112129} is an apocalyptic number.

It is an amenable number.

10404142112129 is a deficient number, since it is larger than the sum of its proper divisors (799349870911).

10404142112129 is a wasteful number, since it uses less digits than its factorization.

10404142112129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580720.

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 10404142112129 in words is "ten trillion, four hundred four billion, one hundred forty-two million, one hundred twelve thousand, one hundred twenty-nine".