100204129912224 has 384 divisors, whose sum is σ = 305714085159168. Its totient is φ = 28459441520640.

The previous prime is 100204129912223. The next prime is 100204129912253. The reversal of 100204129912224 is 422219921402001.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (100204129912223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3028121919 + ... + 3028155009.

It is an arithmetic number, because the mean of its divisors is an integer number (796130430102).

Almost surely, 2^{100204129912224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100204129912224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152857042579584).

100204129912224 is an abundant number, since it is smaller than the sum of its proper divisors (205509955246944).

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

100204129912224 is a wasteful number, since it uses less digits than its factorization.

100204129912224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35880 (or 35872 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 100204129912224 in words is "one hundred trillion, two hundred four billion, one hundred twenty-nine million, nine hundred twelve thousand, two hundred twenty-four".