122112220102009 has 2 divisors, whose sum is σ = 122112220102010. Its totient is φ = 122112220102008.

The previous prime is 122112220101943. The next prime is 122112220102027. The reversal of 122112220102009 is 900201022211221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120445466805225 + 1666753296784 = 10974765^2 + 1291028^2 .

It is a cyclic number.

It is not a de Polignac number, because 122112220102009 - 2⁹ = 122112220101497 is a prime.

It is a super-2 number, since 2×122112220102009² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122112220102069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056110051004 + 61056110051005.

It is an arithmetic number, because the mean of its divisors is an integer number (61056110051005).

Almost surely, 2^{122112220102009} is an apocalyptic number.

It is an amenable number.

122112220102009 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112220102009 is an equidigital number, since it uses as much as digits as its factorization.

122112220102009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 122112220102009 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred twenty million, one hundred two thousand, nine".