2211012122213 has 2 divisors, whose sum is σ = 2211012122214. Its totient is φ = 2211012122212.

The previous prime is 2211012122203. The next prime is 2211012122219. The reversal of 2211012122213 is 3122212101122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1702041172129 + 508970950084 = 1304623^2 + 713422^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211012122213 - 2¹⁰ = 2211012121189 is a prime.

It is a super-3 number, since 3×2211012122213³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2211012122219) 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, 1105506061106 + 1105506061107.

It is an arithmetic number, because the mean of its divisors is an integer number (1105506061107).

Almost surely, 2^{2211012122213} is an apocalyptic number.

It is an amenable number.

2211012122213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211012122213 is an equidigital number, since it uses as much as digits as its factorization.

2211012122213 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 2211012122213 its reverse (3122212101122), we get a palindrome (5333224223335).

The spelling of 2211012122213 in words is "two trillion, two hundred eleven billion, twelve million, one hundred twenty-two thousand, two hundred thirteen".