100601365520 has 80 divisors (see below), whose sum is σ = 240592315392. Its totient is φ = 39098680320.

The previous prime is 100601365519. The next prime is 100601365541. The reversal of 100601365520 is 25563106001.

It is a tau number, because it is divible by the number of its divisors (80).

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, 580484 + ... + 733596.

Almost surely, 2^100601365520 is an apocalyptic number.

100601365520 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 100601365520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120296157696).

100601365520 is an abundant number, since it is smaller than the sum of its proper divisors (139990949872).

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

100601365520 is a wasteful number, since it uses less digits than its factorization.

100601365520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153360 (or 153354 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The spelling of 100601365520 in words is "one hundred billion, six hundred one million, three hundred sixty-five thousand, five hundred twenty".