102100122209 has 2 divisors, whose sum is σ = 102100122210. Its totient is φ = 102100122208.

The previous prime is 102100122169. The next prime is 102100122251. The reversal of 102100122209 is 902221001201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99865480225 + 2234641984 = 316015^2 + 47272^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100122209 - 2¹⁶ = 102100056673 is a prime.

It is not a weakly prime, because it can be changed into another prime (102100122109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050061104 + 51050061105.

It is an arithmetic number, because the mean of its divisors is an integer number (51050061105).

Almost surely, 2^102100122209 is an apocalyptic number.

It is an amenable number.

102100122209 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100122209 is an equidigital number, since it uses as much as digits as its factorization.

102100122209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 102100122209 in words is "one hundred two billion, one hundred million, one hundred twenty-two thousand, two hundred nine".