321112100 has 72 divisors (see below), whose sum is σ = 711365928. Its totient is φ = 125798400.

The previous prime is 321112093. The next prime is 321112151. The reversal of 321112100 is 1211123.

It can be written as a sum of positive squares in 12 ways, for example, as 299359204 + 21752896 = 17302^2 + 4664^2 .

It is a super-2 number, since 2×321112100² = 206225961532820000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1774010 + ... + 1774190.

Almost surely, 2^321112100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355682964).

321112100 is an abundant number, since it is smaller than the sum of its proper divisors (390253828).

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

321112100 is a wasteful number, since it uses less digits than its factorization.

321112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 321112100 is about 17919.6010000223. The cubic root of 321112100 is about 684.7818226434.

Adding to 321112100 its reverse (1211123), we get a palindrome (322323223).

The spelling of 321112100 in words is "three hundred twenty-one million, one hundred twelve thousand, one hundred".