202222112121013 has 2 divisors, whose sum is σ = 202222112121014. Its totient is φ = 202222112121012.

The previous prime is 202222112120953. The next prime is 202222112121017. The reversal of 202222112121013 is 310121211222202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124758579133444 + 77463532987569 = 11169538^2 + 8801337^2 .

It is a cyclic number.

It is not a de Polignac number, because 202222112121013 - 2¹³ = 202222112112821 is a prime.

It is a super-2 number, since 2×202222112121013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202222112121017) 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, 101111056060506 + 101111056060507.

It is an arithmetic number, because the mean of its divisors is an integer number (101111056060507).

Almost surely, 2^{202222112121013} is an apocalyptic number.

It is an amenable number.

202222112121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

202222112121013 is an equidigital number, since it uses as much as digits as its factorization.

202222112121013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 202222112121013 its reverse (310121211222202), we get a palindrome (512343323343215).

The spelling of 202222112121013 in words is "two hundred two trillion, two hundred twenty-two billion, one hundred twelve million, one hundred twenty-one thousand, thirteen".