221313222313122 has 32 divisors (see below), whose sum is σ = 462129534876672. Its totient is φ = 70524148815824.

The previous prime is 221313222313121. The next prime is 221313222313163.

It is a happy number.

221313222313122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×221313222313122² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 221313222313122.

It is not an unprimeable number, because it can be changed into a prime (221313222313121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448471638 + ... + 448964849.

It is an arithmetic number, because the mean of its divisors is an integer number (14441547964896).

Almost surely, 2^{221313222313122} is an apocalyptic number.

221313222313122 is an abundant number, since it is smaller than the sum of its proper divisors (240816312563550).

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

221313222313122 is a wasteful number, since it uses less digits than its factorization.

221313222313122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897438302.

The product of its digits is 10368, while the sum is 30.

The spelling of 221313222313122 in words is "two hundred twenty-one trillion, three hundred thirteen billion, two hundred twenty-two million, three hundred thirteen thousand, one hundred twenty-two".