101517009552 has 120 divisors (see below), whose sum is σ = 338810469504. Its totient is φ = 27743772672.

The previous prime is 101517009551. The next prime is 101517009623. The reversal of 101517009552 is 255900715101.

101517009552 is a `hidden beast` number, since 1 + 0 + 1 + 517 + 0 + 0 + 95 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (101517009551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2166193 + ... + 2212560.

Almost surely, 2^101517009552 is an apocalyptic number.

101517009552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101517009552 is an abundant number, since it is smaller than the sum of its proper divisors (237293459952).

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

101517009552 is a wasteful number, since it uses less digits than its factorization.

101517009552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4378797 (or 4378788 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 36.

The spelling of 101517009552 in words is "one hundred one billion, five hundred seventeen million, nine thousand, five hundred fifty-two".