101599372512 has 144 divisors (see below), whose sum is σ = 315333502848. Its totient is φ = 30773571840.

The previous prime is 101599372453. The next prime is 101599372513. The reversal of 101599372512 is 215273995101.

101599372512 is a `hidden beast` number, since 1 + 0 + 1 + 599 + 3 + 7 + 2 + 51 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101599372513) 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, 8430363 + ... + 8442405.

It is an arithmetic number, because the mean of its divisors is an integer number (2189815992).

Almost surely, 2^101599372512 is an apocalyptic number.

101599372512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101599372512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157666751424).

101599372512 is an abundant number, since it is smaller than the sum of its proper divisors (213734130336).

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

101599372512 is a wasteful number, since it uses less digits than its factorization.

101599372512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14733 (or 14722 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 101599372512 in words is "one hundred one billion, five hundred ninety-nine million, three hundred seventy-two thousand, five hundred twelve".