2122212102809 has 2 divisors, whose sum is σ = 2122212102810. Its totient is φ = 2122212102808.

The previous prime is 2122212102707. The next prime is 2122212102869. The reversal of 2122212102809 is 9082012122212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1821951941209 + 300260161600 = 1349797^2 + 547960^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122212102809 - 2²⁰ = 2122211054233 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122212102869) 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, 1061106051404 + 1061106051405.

It is an arithmetic number, because the mean of its divisors is an integer number (1061106051405).

Almost surely, 2^{2122212102809} is an apocalyptic number.

It is an amenable number.

2122212102809 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122212102809 is an equidigital number, since it uses as much as digits as its factorization.

2122212102809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 2122212102809 in words is "two trillion, one hundred twenty-two billion, two hundred twelve million, one hundred two thousand, eight hundred nine".