100601115600 has 120 divisors (see below), whose sum is σ = 323064090432. Its totient is φ = 26759936000.

The previous prime is 100601115599. The next prime is 100601115613. The reversal of 100601115600 is 6511106001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376669 + ... + 585731.

Almost surely, 2^100601115600 is an apocalyptic number.

100601115600 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 100601115600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161532045216).

100601115600 is an abundant number, since it is smaller than the sum of its proper divisors (222462974832).

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

100601115600 is a wasteful number, since it uses less digits than its factorization.

100601115600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209485 (or 209474 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 100601115600 in words is "one hundred billion, six hundred one million, one hundred fifteen thousand, six hundred".