100332132200 has 96 divisors (see below), whose sum is σ = 239224376160. Its totient is φ = 39112953600.

The previous prime is 100332132181. The next prime is 100332132217. The reversal of 100332132200 is 2231233001.

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, 3951947 + ... + 3977253.

It is an arithmetic number, because the mean of its divisors is an integer number (2491920585).

Almost surely, 2^100332132200 is an apocalyptic number.

100332132200 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 100332132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119612188080).

100332132200 is an abundant number, since it is smaller than the sum of its proper divisors (138892243960).

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

100332132200 is a wasteful number, since it uses less digits than its factorization.

100332132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25827 (or 25818 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 100332132200 its reverse (2231233001), we get a palindrome (102563365201).

The spelling of 100332132200 in words is "one hundred billion, three hundred thirty-two million, one hundred thirty-two thousand, two hundred".