122101000102009 has 2 divisors, whose sum is σ = 122101000102010. Its totient is φ = 122101000102008.

The previous prime is 122101000101953. The next prime is 122101000102021. The reversal of 122101000102009 is 900201000101221.

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., 89502290119225 + 32598709982784 = 9460565^2 + 5709528^2 .

It is a cyclic number.

It is not a de Polignac number, because 122101000102009 - 2⁷ = 122101000101881 is a prime.

It is not a weakly prime, because it can be changed into another prime (122101000103009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050500051004 + 61050500051005.

It is an arithmetic number, because the mean of its divisors is an integer number (61050500051005).

Almost surely, 2^{122101000102009} is an apocalyptic number.

It is an amenable number.

122101000102009 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101000102009 is an equidigital number, since it uses as much as digits as its factorization.

122101000102009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 122101000102009 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred two thousand, nine".