321321110220 has 384 divisors, whose sum is σ = 1149763507200. Its totient is φ = 73679155200.

The previous prime is 321321110213. The next prime is 321321110251. The reversal of 321321110220 is 22011123123.

321321110220 is a `hidden beast` number, since 321 + 321 + 1 + 1 + 0 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 321321110193 and 321321110202.

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 127 ways as a sum of consecutive naturals, for example, 85433140 + ... + 85436900.

It is an arithmetic number, because the mean of its divisors is an integer number (2994175800).

Almost surely, 2^321321110220 is an apocalyptic number.

321321110220 is a gapful number since it is divisible by the number (30) 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 321321110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574881753600).

321321110220 is an abundant number, since it is smaller than the sum of its proper divisors (828442396980).

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

321321110220 is a wasteful number, since it uses less digits than its factorization.

321321110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4566 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 321321110220 its reverse (22011123123), we get a palindrome (343332233343).

The spelling of 321321110220 in words is "three hundred twenty-one billion, three hundred twenty-one million, one hundred ten thousand, two hundred twenty".