101136002976 has 96 divisors (see below), whose sum is σ = 298294617600. Its totient is φ = 33333189120.

The previous prime is 101136002941. The next prime is 101136002977. The reversal of 101136002976 is 679200631101.

101136002976 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 360 + 0 + 297 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×101136002976² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101136002976.

It is not an unprimeable number, because it can be changed into a prime (101136002977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580720 + ... + 734511.

It is an arithmetic number, because the mean of its divisors is an integer number (3107235600).

Almost surely, 2^101136002976 is an apocalyptic number.

101136002976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101136002976 is an abundant number, since it is smaller than the sum of its proper divisors (197158614624).

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

101136002976 is a wasteful number, since it uses less digits than its factorization.

101136002976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315339 (or 1315325 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 101136002976 in words is "one hundred one billion, one hundred thirty-six million, two thousand, nine hundred seventy-six".