320021312100 has 144 divisors (see below), whose sum is σ = 1058541998976. Its totient is φ = 73124352000.

The previous prime is 320021312063. The next prime is 320021312119. The reversal of 320021312100 is 1213120023.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 320021312100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7035430 + ... + 7080770.

It is an arithmetic number, because the mean of its divisors is an integer number (7350986104).

Almost surely, 2^320021312100 is an apocalyptic number.

320021312100 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 320021312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529270999488).

320021312100 is an abundant number, since it is smaller than the sum of its proper divisors (738520686876).

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

320021312100 is a wasteful number, since it uses less digits than its factorization.

320021312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48726 (or 48719 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 320021312100 its reverse (1213120023), we get a palindrome (321234432123).

The spelling of 320021312100 in words is "three hundred twenty billion, twenty-one million, three hundred twelve thousand, one hundred".