101516883658775 has 12 divisors (see below), whose sum is σ = 135564084640152. Its totient is φ = 74966314086240.

The previous prime is 101516883658727. The next prime is 101516883658777. The reversal of 101516883658775 is 577856388615101.

It is a de Polignac number, because none of the positive numbers 2^k-101516883658775 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101516883658699 and 101516883658708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101516883658777) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156179820689 + ... + 156179821338.

It is an arithmetic number, because the mean of its divisors is an integer number (11297007053346).

Almost surely, 2^{101516883658775} is an apocalyptic number.

101516883658775 is a deficient number, since it is larger than the sum of its proper divisors (34047200981377).

101516883658775 is a wasteful number, since it uses less digits than its factorization.

101516883658775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312359642050 (or 312359642045 counting only the distinct ones).

The product of its (nonzero) digits is 338688000, while the sum is 71.

The spelling of 101516883658775 in words is "one hundred one trillion, five hundred sixteen billion, eight hundred eighty-three million, six hundred fifty-eight thousand, seven hundred seventy-five".