102166501600001 has 8 divisors (see below), whose sum is σ = 103900635649440. Its totient is φ = 100432450831648.

The previous prime is 102166501599989. The next prime is 102166501600013. The reversal of 102166501600001 is 100006105661201.

It is an interprime number because it is at equal distance from previous prime (102166501599989) and next prime (102166501600013).

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

It is a cyclic number.

It is not a de Polignac number, because 102166501600001 - 2⁴² = 97768455088897 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 (102166501605001) 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 7 ways as a sum of consecutive naturals, for example, 18343436 + ... + 23255421.

It is an arithmetic number, because the mean of its divisors is an integer number (12987579456180).

Almost surely, 2^{102166501600001} is an apocalyptic number.

It is an amenable number.

102166501600001 is a deficient number, since it is larger than the sum of its proper divisors (1734134049439).

102166501600001 is an equidigital number, since it uses as much as digits as its factorization.

102166501600001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41640543.

The product of its (nonzero) digits is 2160, while the sum is 29.

The spelling of 102166501600001 in words is "one hundred two trillion, one hundred sixty-six billion, five hundred one million, six hundred thousand, one".