212122222212013 has 2 divisors, whose sum is σ = 212122222212014. Its totient is φ = 212122222212012.

The previous prime is 212122222211993. The next prime is 212122222212023. The reversal of 212122222212013 is 310212222221212.

It is a happy number.

212122222212013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195337157358249 + 16785064853764 = 13976307^2 + 4096958^2 .

It is a cyclic number.

It is not a de Polignac number, because 212122222212013 - 2²⁵ = 212122188657581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212122222212023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061111106006 + 106061111106007.

It is an arithmetic number, because the mean of its divisors is an integer number (106061111106007).

Almost surely, 2^{212122222212013} is an apocalyptic number.

It is an amenable number.

212122222212013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212122222212013 is an equidigital number, since it uses as much as digits as its factorization.

212122222212013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 212122222212013 its reverse (310212222221212), we get a palindrome (522334444433225).

The spelling of 212122222212013 in words is "two hundred twelve trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred twelve thousand, thirteen".