100210033200 has 120 divisors (see below), whose sum is σ = 321478763328. Its totient is φ = 26683331840.

The previous prime is 100210033097. The next prime is 100210033211. The reversal of 100210033200 is 2330012001.

It is a happy number.

100210033200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 758467 + ... + 880733.

Almost surely, 2^100210033200 is an apocalyptic number.

100210033200 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 100210033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160739381664).

100210033200 is an abundant number, since it is smaller than the sum of its proper divisors (221268730128).

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

100210033200 is a wasteful number, since it uses less digits than its factorization.

100210033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122971 (or 122960 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100210033200 its reverse (2330012001), we get a palindrome (102540045201).

The spelling of 100210033200 in words is "one hundred billion, two hundred ten million, thirty-three thousand, two hundred".