100133829900 has 216 divisors, whose sum is σ = 342640465440. Its totient is φ = 24310471680.

The previous prime is 100133829883. The next prime is 100133829919. The reversal of 100133829900 is 9928331001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 795481 + ... + 912719.

Almost surely, 2^100133829900 is an apocalyptic number.

100133829900 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 100133829900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171320232720).

100133829900 is an abundant number, since it is smaller than the sum of its proper divisors (242506635540).

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

100133829900 is a wasteful number, since it uses less digits than its factorization.

100133829900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117345 (or 117335 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 100133829900 in words is "one hundred billion, one hundred thirty-three million, eight hundred twenty-nine thousand, nine hundred".