102617175201 has 32 divisors (see below), whose sum is σ = 141253217280. Its totient is φ = 66236374464.

The previous prime is 102617175187. The next prime is 102617175211. The reversal of 102617175201 is 102571716201.

It is not a de Polignac number, because 102617175201 - 2¹⁴ = 102617158817 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102617175211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3676966 + ... + 3704768.

It is an arithmetic number, because the mean of its divisors is an integer number (4414163040).

Almost surely, 2^102617175201 is an apocalyptic number.

It is an amenable number.

102617175201 is a deficient number, since it is larger than the sum of its proper divisors (38636042079).

102617175201 is a wasteful number, since it uses less digits than its factorization.

102617175201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28165.

The product of its (nonzero) digits is 5880, while the sum is 33.

The spelling of 102617175201 in words is "one hundred two billion, six hundred seventeen million, one hundred seventy-five thousand, two hundred one".