101059591055520 has 96 divisors (see below), whose sum is σ = 319658615559360. Its totient is φ = 26837401743360.

The previous prime is 101059591055497. The next prime is 101059591055603. The reversal of 101059591055520 is 25550195950101.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 101059591055520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436690990 + ... + 436922349.

It is an arithmetic number, because the mean of its divisors is an integer number (3329777245410).

Almost surely, 2^{101059591055520} is an apocalyptic number.

101059591055520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101059591055520 is an abundant number, since it is smaller than the sum of its proper divisors (218599024503840).

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

101059591055520 is a wasteful number, since it uses less digits than its factorization.

101059591055520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873613598 (or 873613590 counting only the distinct ones).

The product of its (nonzero) digits is 506250, while the sum is 48.

The spelling of 101059591055520 in words is "one hundred one trillion, fifty-nine billion, five hundred ninety-one million, fifty-five thousand, five hundred twenty".