100216313575 has 48 divisors (see below), whose sum is σ = 148275795456. Its totient is φ = 65696400000.

The previous prime is 100216313567. The next prime is 100216313581. The reversal of 100216313575 is 575313612001.

It is not a de Polignac number, because 100216313575 - 2³ = 100216313567 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 100216313575.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8901700 + ... + 8912950.

It is an arithmetic number, because the mean of its divisors is an integer number (3089079072).

Almost surely, 2^100216313575 is an apocalyptic number.

100216313575 is a deficient number, since it is larger than the sum of its proper divisors (48059481881).

100216313575 is a wasteful number, since it uses less digits than its factorization.

100216313575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13504 (or 13499 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

Adding to 100216313575 its reverse (575313612001), we get a palindrome (675529925576).

The spelling of 100216313575 in words is "one hundred billion, two hundred sixteen million, three hundred thirteen thousand, five hundred seventy-five".