101582120875 has 64 divisors (see below), whose sum is σ = 135736473600. Its totient is φ = 75632832000.

The previous prime is 101582120831. The next prime is 101582120897. The reversal of 101582120875 is 578021285101.

It is not a de Polignac number, because 101582120875 - 2⁹ = 101582120363 is a prime.

It is a super-2 number, since 2×101582120875² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97768606 + ... + 97769644.

It is an arithmetic number, because the mean of its divisors is an integer number (2120882400).

Almost surely, 2^101582120875 is an apocalyptic number.

101582120875 is a deficient number, since it is larger than the sum of its proper divisors (34154352725).

101582120875 is a wasteful number, since it uses less digits than its factorization.

101582120875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 40.

The spelling of 101582120875 in words is "one hundred one billion, five hundred eighty-two million, one hundred twenty thousand, eight hundred seventy-five".