100601373600 has 1728 divisors, whose sum is σ = 468450017280. Its totient is φ = 20379340800.

The previous prime is 100601373563. The next prime is 100601373601. The reversal of 100601373600 is 6373106001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100601373601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 792136737 + ... + 792136863.

It is an arithmetic number, because the mean of its divisors is an integer number (271093760).

Almost surely, 2^100601373600 is an apocalyptic number.

100601373600 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 100601373600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234225008640).

100601373600 is an abundant number, since it is smaller than the sum of its proper divisors (367848643680).

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

100601373600 is a wasteful number, since it uses less digits than its factorization.

100601373600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

Adding to 100601373600 its reverse (6373106001), we get a palindrome (106974479601).

The spelling of 100601373600 in words is "one hundred billion, six hundred one million, three hundred seventy-three thousand, six hundred".