102004457164217 has 16 divisors (see below), whose sum is σ = 102587389470720. Its totient is φ = 101422200852672.

The previous prime is 102004457164213. The next prime is 102004457164223. The reversal of 102004457164217 is 712461754400201.

It is a cyclic number.

It is not a de Polignac number, because 102004457164217 - 2² = 102004457164213 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102004457164213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2722786628 + ... + 2722824090.

It is an arithmetic number, because the mean of its divisors is an integer number (6411711841920).

Almost surely, 2^{102004457164217} is an apocalyptic number.

It is an amenable number.

102004457164217 is a deficient number, since it is larger than the sum of its proper divisors (582932306503).

102004457164217 is a wasteful number, since it uses less digits than its factorization.

102004457164217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46072.

The product of its (nonzero) digits is 376320, while the sum is 44.

The spelling of 102004457164217 in words is "one hundred two trillion, four billion, four hundred fifty-seven million, one hundred sixty-four thousand, two hundred seventeen".