211112121122209 has 2 divisors, whose sum is σ = 211112121122210. Its totient is φ = 211112121122208.

The previous prime is 211112121122183. The next prime is 211112121122233. The reversal of 211112121122209 is 902221121211112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164816888638609 + 46295232483600 = 12838103^2 + 6804060^2 .

It is a cyclic number.

It is not a de Polignac number, because 211112121122209 - 2²⁹ = 211111584251297 is a prime.

It is not a weakly prime, because it can be changed into another prime (211112121122299) 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, 105556060561104 + 105556060561105.

It is an arithmetic number, because the mean of its divisors is an integer number (105556060561105).

Almost surely, 2^{211112121122209} is an apocalyptic number.

It is an amenable number.

211112121122209 is a deficient number, since it is larger than the sum of its proper divisors (1).

211112121122209 is an equidigital number, since it uses as much as digits as its factorization.

211112121122209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 28.

The spelling of 211112121122209 in words is "two hundred eleven trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred nine".