100129924000 has 384 divisors, whose sum is σ = 270450835200. Its totient is φ = 36288000000.

The previous prime is 100129923977. The next prime is 100129924001. The reversal of 100129924000 is 429921001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100129924000.

It is not an unprimeable number, because it can be changed into a prime (100129924001) 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, 398923875 + ... + 398924125.

It is an arithmetic number, because the mean of its divisors is an integer number (704299050).

Almost surely, 2^100129924000 is an apocalyptic number.

100129924000 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 100129924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135225417600).

100129924000 is an abundant number, since it is smaller than the sum of its proper divisors (170320911200).

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

100129924000 is a wasteful number, since it uses less digits than its factorization.

100129924000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 100129924000 in words is "one hundred billion, one hundred twenty-nine million, nine hundred twenty-four thousand".