22111121112209 has 2 divisors, whose sum is σ = 22111121112210. Its totient is φ = 22111121112208.

The previous prime is 22111121112181. The next prime is 22111121112233. The reversal of 22111121112209 is 90221112111122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18216438597184 + 3894682515025 = 4268072^2 + 1973495^2 .

It is a cyclic number.

It is not a de Polignac number, because 22111121112209 - 2¹⁶ = 22111121046673 is a prime.

It is not a weakly prime, because it can be changed into another prime (22111121112259) 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, 11055560556104 + 11055560556105.

It is an arithmetic number, because the mean of its divisors is an integer number (11055560556105).

Almost surely, 2^{22111121112209} is an apocalyptic number.

It is an amenable number.

22111121112209 is a deficient number, since it is larger than the sum of its proper divisors (1).

22111121112209 is an equidigital number, since it uses as much as digits as its factorization.

22111121112209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 22111121112209 in words is "twenty-two trillion, one hundred eleven billion, one hundred twenty-one million, one hundred twelve thousand, two hundred nine".