101516058783264 has 48 divisors (see below), whose sum is σ = 266538261050208. Its totient is φ = 33831244134912.

The previous prime is 101516058783257. The next prime is 101516058783317. The reversal of 101516058783264 is 462387850615101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×101516058783264² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115844437 + ... + 116717460.

It is an arithmetic number, because the mean of its divisors is an integer number (5552880438546).

Almost surely, 2^{101516058783264} is an apocalyptic number.

It is an amenable number.

101516058783264 is an abundant number, since it is smaller than the sum of its proper divisors (165022202266944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101516058783264 is a wasteful number, since it uses less digits than its factorization.

101516058783264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232566457 (or 232566449 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 101516058783264 in words is "one hundred one trillion, five hundred sixteen billion, fifty-eight million, seven hundred eighty-three thousand, two hundred sixty-four".