100601553120 has 96 divisors (see below), whose sum is σ = 317253500928. Its totient is φ = 26796722688.

The previous prime is 100601553109. The next prime is 100601553127. The reversal of 100601553120 is 21355106001.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100601553127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307617 + ... + 543903.

It is an arithmetic number, because the mean of its divisors is an integer number (3304723968).

Almost surely, 2^100601553120 is an apocalyptic number.

100601553120 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 100601553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158626750464).

100601553120 is an abundant number, since it is smaller than the sum of its proper divisors (216651947808).

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

100601553120 is a wasteful number, since it uses less digits than its factorization.

100601553120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237192 (or 237184 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 100601553120 its reverse (21355106001), we get a palindrome (121956659121).

The spelling of 100601553120 in words is "one hundred billion, six hundred one million, five hundred fifty-three thousand, one hundred twenty".