122100221222209 has 2 divisors, whose sum is σ = 122100221222210. Its totient is φ = 122100221222208.

The previous prime is 122100221222179. The next prime is 122100221222237. The reversal of 122100221222209 is 902222122001221.

It is an a-pointer prime, because the next prime (122100221222237) can be obtained adding 122100221222209 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117143822890000 + 4956398332209 = 10823300^2 + 2226297^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100221222209 - 2²⁷ = 122100087004481 is a prime.

It is not a weakly prime, because it can be changed into another prime (122100221222009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050110611104 + 61050110611105.

It is an arithmetic number, because the mean of its divisors is an integer number (61050110611105).

Almost surely, 2^{122100221222209} is an apocalyptic number.

It is an amenable number.

122100221222209 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100221222209 is an equidigital number, since it uses as much as digits as its factorization.

122100221222209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 122100221222209 in words is "one hundred twenty-two trillion, one hundred billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred nine".