100232200200 has 192 divisors, whose sum is σ = 346851014400. Its totient is φ = 23733561600.

The previous prime is 100232200199. The next prime is 100232200213. The reversal of 100232200200 is 2002232001.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107211 + ... + 460389.

It is an arithmetic number, because the mean of its divisors is an integer number (1806515700).

Almost surely, 2^100232200200 is an apocalyptic number.

100232200200 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 100232200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173425507200).

100232200200 is an abundant number, since it is smaller than the sum of its proper divisors (246618814200).

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

100232200200 is a wasteful number, since it uses less digits than its factorization.

100232200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353252 (or 353243 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 100232200200 its reverse (2002232001), we get a palindrome (102234432201).

The spelling of 100232200200 in words is "one hundred billion, two hundred thirty-two million, two hundred thousand, two hundred".