100032100200 has 120 divisors (see below), whose sum is σ = 347426359830. Its totient is φ = 26675222400.

The previous prime is 100032100177. The next prime is 100032100219. The reversal of 100032100200 is 2001230001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 92987183844 + 7044916356 = 304938^2 + 83934^2 .

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 (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3071211 + ... + 3103610.

Almost surely, 2^100032100200 is an apocalyptic number.

100032100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100032100200 is an abundant number, since it is smaller than the sum of its proper divisors (247394259630).

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

100032100200 is a wasteful number, since it uses less digits than its factorization.

100032100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6174849 (or 6174831 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100032100200 its reverse (2001230001), we get a palindrome (102033330201).

The spelling of 100032100200 in words is "one hundred billion, thirty-two million, one hundred thousand, two hundred".