212211242809 has 2 divisors, whose sum is σ = 212211242810. Its totient is φ = 212211242808.

The previous prime is 212211242773. The next prime is 212211242833. The reversal of 212211242809 is 908242112212.

212211242809 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., 128412572409 + 83798670400 = 358347^2 + 289480^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212211242809 is a prime.

It is a super-2 number, since 2×212211242809² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212211242899) 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, 106105621404 + 106105621405.

It is an arithmetic number, because the mean of its divisors is an integer number (106105621405).

Almost surely, 2^212211242809 is an apocalyptic number.

It is an amenable number.

212211242809 is a deficient number, since it is larger than the sum of its proper divisors (1).

212211242809 is an equidigital number, since it uses as much as digits as its factorization.

212211242809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 212211242809 in words is "two hundred twelve billion, two hundred eleven million, two hundred forty-two thousand, eight hundred nine".