221221010320 has 40 divisors (see below), whose sum is σ = 514360527480. Its totient is φ = 88484674560.

The previous prime is 221221010317. The next prime is 221221010363. The reversal of 221221010320 is 23010122122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 71832576256 + 149388434064 = 268016^2 + 386508^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 221221010294 and 221221010303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2611186 + ... + 2694574.

It is an arithmetic number, because the mean of its divisors is an integer number (12859013187).

Almost surely, 2^221221010320 is an apocalyptic number.

221221010320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221010320 is an abundant number, since it is smaller than the sum of its proper divisors (293139517160).

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

221221010320 is a wasteful number, since it uses less digits than its factorization.

221221010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116563 (or 116557 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 221221010320 its reverse (23010122122), we get a palindrome (244231132442).

The spelling of 221221010320 in words is "two hundred twenty-one billion, two hundred twenty-one million, ten thousand, three hundred twenty".