332232311020100 has 72 divisors (see below), whose sum is σ = 745868443629960. Its totient is φ = 128299366881280.

The previous prime is 332232311020087. The next prime is 332232311020171. The reversal of 332232311020100 is 1020113232233.

It can be written as a sum of positive squares in 12 ways, for example, as 52955806001476 + 279276505018624 = 7277074^2 + 16711568^2 .

It is a super-2 number, since 2×332232311020100² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28811654 + ... + 38659746.

It is an arithmetic number, because the mean of its divisors is an integer number (10359283939305).

Almost surely, 2^{332232311020100} is an apocalyptic number.

It is an amenable number.

332232311020100 is an abundant number, since it is smaller than the sum of its proper divisors (413636132609860).

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

332232311020100 is a wasteful number, since it uses less digits than its factorization.

332232311020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9859769 (or 9859762 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 332232311020100 its reverse (1020113232233), we get a palindrome (333252424252333).

The spelling of 332232311020100 in words is "three hundred thirty-two trillion, two hundred thirty-two billion, three hundred eleven million, twenty thousand, one hundred".