101616086205875 has 16 divisors (see below), whose sum is σ = 126826016387616. Its totient is φ = 81287009476000.

The previous prime is 101616086205859. The next prime is 101616086205913. The reversal of 101616086205875 is 578502680616101.

It is not a de Polignac number, because 101616086205875 - 2⁴ = 101616086205859 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101616086205875.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27555881 + ... + 31025130.

It is an arithmetic number, because the mean of its divisors is an integer number (7926626024226).

Almost surely, 2^{101616086205875} is an apocalyptic number.

101616086205875 is a deficient number, since it is larger than the sum of its proper divisors (25209930181741).

101616086205875 is an equidigital number, since it uses as much as digits as its factorization.

101616086205875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58594903 (or 58594893 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 56.

The spelling of 101616086205875 in words is "one hundred one trillion, six hundred sixteen billion, eighty-six million, two hundred five thousand, eight hundred seventy-five".