100010033200 has 360 divisors, whose sum is σ = 303479187200. Its totient is φ = 31002048000.

The previous prime is 100010033177. The next prime is 100010033237. The reversal of 100010033200 is 2330010001.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 71486101 + ... + 71487499.

Almost surely, 2^100010033200 is an apocalyptic number.

100010033200 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 100010033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151739593600).

100010033200 is an abundant number, since it is smaller than the sum of its proper divisors (203469154000).

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

100010033200 is a wasteful number, since it uses less digits than its factorization.

100010033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 100010033200 its reverse (2330010001), we get a palindrome (102340043201).

The spelling of 100010033200 in words is "one hundred billion, ten million, thirty-three thousand, two hundred".