10331332100 has 36 divisors (see below), whose sum is σ = 22786528548. Its totient is φ = 4064784000.

The previous prime is 10331332013. The next prime is 10331332111. The reversal of 10331332100 is 123313301.

10331332100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 449779264 + 9881552836 = 21208^2 + 99406^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 840731 + ... + 852930.

Almost surely, 2^10331332100 is an apocalyptic number.

10331332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10331332100 is an abundant number, since it is smaller than the sum of its proper divisors (12455196448).

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

10331332100 is a wasteful number, since it uses less digits than its factorization.

10331332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693736 (or 1693729 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 10331332100 its reverse (123313301), we get a palindrome (10454645401).

The spelling of 10331332100 in words is "ten billion, three hundred thirty-one million, three hundred thirty-two thousand, one hundred".