101599330560 has 1152 divisors, whose sum is σ = 420905189376. Its totient is φ = 20313538560.

The previous prime is 101599330559. The next prime is 101599330603. The reversal of 101599330560 is 65033995101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 899109064 + ... + 899109176.

It is an arithmetic number, because the mean of its divisors is an integer number (365369088).

Almost surely, 2^101599330560 is an apocalyptic number.

101599330560 is a gapful number since it is divisible by the number (10) 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 101599330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210452594688).

101599330560 is an abundant number, since it is smaller than the sum of its proper divisors (319305858816).

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

101599330560 is a wasteful number, since it uses less digits than its factorization.

101599330560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 109350, while the sum is 42.

The spelling of 101599330560 in words is "one hundred one billion, five hundred ninety-nine million, three hundred thirty thousand, five hundred sixty".