2221023222113 has 2 divisors, whose sum is σ = 2221023222114. Its totient is φ = 2221023222112.

The previous prime is 2221023222101. The next prime is 2221023222181. The reversal of 2221023222113 is 3112223201222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1451873173969 + 769150048144 = 1204937^2 + 877012^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221023222113 - 2⁴ = 2221023222097 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221023222413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110511611056 + 1110511611057.

It is an arithmetic number, because the mean of its divisors is an integer number (1110511611057).

Almost surely, 2^{2221023222113} is an apocalyptic number.

It is an amenable number.

2221023222113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221023222113 is an equidigital number, since it uses as much as digits as its factorization.

2221023222113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2221023222113 its reverse (3112223201222), we get a palindrome (5333246423335).

The spelling of 2221023222113 in words is "two trillion, two hundred twenty-one billion, twenty-three million, two hundred twenty-two thousand, one hundred thirteen".