102901816289601 has 96 divisors (see below), whose sum is σ = 176709320133632. Its totient is φ = 56479347550080.

The previous prime is 102901816289539. The next prime is 102901816289603. The reversal of 102901816289601 is 106982618109201.

102901816289601 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 0 + 1 + 8 + 1 + 6 + 28 + 9 + 601 = 666.

It is not a de Polignac number, because 102901816289601 - 2²⁷ = 102901682071873 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102901816289603) 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 95 ways as a sum of consecutive naturals, for example, 760573506 + ... + 760708788.

Almost surely, 2^{102901816289601} is an apocalyptic number.

It is an amenable number.

102901816289601 is a deficient number, since it is larger than the sum of its proper divisors (73807503844031).

102901816289601 is a wasteful number, since it uses less digits than its factorization.

102901816289601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140003 (or 140000 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 102901816289601 in words is "one hundred two trillion, nine hundred one billion, eight hundred sixteen million, two hundred eighty-nine thousand, six hundred one".