2122210112213 has 2 divisors, whose sum is σ = 2122210112214. Its totient is φ = 2122210112212.

The previous prime is 2122210112147. The next prime is 2122210112219. The reversal of 2122210112213 is 3122110122212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1255639025809 + 866571086404 = 1120553^2 + 930898^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122210112213 - 2¹⁸ = 2122209850069 is a prime.

It is a super-2 number, since 2×2122210112213² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122210112219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061105056106 + 1061105056107.

It is an arithmetic number, because the mean of its divisors is an integer number (1061105056107).

Almost surely, 2^{2122210112213} is an apocalyptic number.

It is an amenable number.

2122210112213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122210112213 is an equidigital number, since it uses as much as digits as its factorization.

2122210112213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 2122210112213 its reverse (3122110122212), we get a palindrome (5244320234425).

Subtracting 2122210112213 from its reverse (3122110122212), we obtain a palindrome (999900009999).

The spelling of 2122210112213 in words is "two trillion, one hundred twenty-two billion, two hundred ten million, one hundred twelve thousand, two hundred thirteen".