10100231200 has 72 divisors (see below), whose sum is σ = 25122524868. Its totient is φ = 3963847680.

The previous prime is 10100231159. The next prime is 10100231213. The reversal of 10100231200 is 213200101.

It can be written as a sum of positive squares in 6 ways, for example, as 4317541264 + 5782689936 = 65708^2 + 76044^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76707 + ... + 161506.

Almost surely, 2^10100231200 is an apocalyptic number.

10100231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100231200 is an abundant number, since it is smaller than the sum of its proper divisors (15022293668).

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

10100231200 is a wasteful number, since it uses less digits than its factorization.

10100231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238286 (or 238273 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10100231200 its reverse (213200101), we get a palindrome (10313431301).

The spelling of 10100231200 in words is "ten billion, one hundred million, two hundred thirty-one thousand, two hundred".