221322113010 has 96 divisors (see below), whose sum is σ = 596220870960. Its totient is φ = 56915841024.

The previous prime is 221322113003. The next prime is 221322113039. The reversal of 221322113010 is 10311223122.

221322113010 is a `hidden beast` number, since 22 + 132 + 211 + 301 + 0 = 666.

221322113010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 76359926889 + 144962186121 = 276333^2 + 380739^2 .

It is a super-2 number, since 2×221322113010² (a number of 23 digits) contains 22 as substring.

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

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, 82206 + ... + 670374.

Almost surely, 2^221322113010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221322113010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298110435480).

221322113010 is an abundant number, since it is smaller than the sum of its proper divisors (374898757950).

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

221322113010 is a wasteful number, since it uses less digits than its factorization.

221322113010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588332 (or 588329 counting only the distinct ones).

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

Adding to 221322113010 its reverse (10311223122), we get a palindrome (231633336132).

The spelling of 221322113010 in words is "two hundred twenty-one billion, three hundred twenty-two million, one hundred thirteen thousand, ten".