221323301300 has 72 divisors (see below), whose sum is σ = 492455486040. Its totient is φ = 86287564800.

The previous prime is 221323301281. The next prime is 221323301347. The reversal of 221323301300 is 3103323122.

It can be written as a sum of positive squares in 12 ways, for example, as 166834670116 + 54488631184 = 408454^2 + 233428^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4357652 + ... + 4408148.

Almost surely, 2^221323301300 is an apocalyptic number.

221323301300 is a gapful number since it is divisible by the number (20) 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 221323301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246227743020).

221323301300 is an abundant number, since it is smaller than the sum of its proper divisors (271132184740).

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

221323301300 is a wasteful number, since it uses less digits than its factorization.

221323301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51621 (or 51614 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 221323301300 its reverse (3103323122), we get a palindrome (224426624422).

The spelling of 221323301300 in words is "two hundred twenty-one billion, three hundred twenty-three million, three hundred one thousand, three hundred".