100032312200 has 96 divisors (see below), whose sum is σ = 237105360000. Its totient is φ = 39240364800.

The previous prime is 100032312197. The next prime is 100032312217. The reversal of 100032312200 is 2213230001.

It is a happy number.

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, 2332955 + ... + 2375445.

It is an arithmetic number, because the mean of its divisors is an integer number (2469847500).

Almost surely, 2^100032312200 is an apocalyptic number.

100032312200 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 100032312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118552680000).

100032312200 is an abundant number, since it is smaller than the sum of its proper divisors (137073047800).

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

100032312200 is a wasteful number, since it uses less digits than its factorization.

100032312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42735 (or 42726 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 100032312200 its reverse (2213230001), we get a palindrome (102245542201).

The spelling of 100032312200 in words is "one hundred billion, thirty-two million, three hundred twelve thousand, two hundred".