102112220209 has 2 divisors, whose sum is σ = 102112220210. Its totient is φ = 102112220208.

The previous prime is 102112220191. The next prime is 102112220251. The reversal of 102112220209 is 902022211201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98897670400 + 3214549809 = 314480^2 + 56697^2 .

It is an emirp because it is prime and its reverse (902022211201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102112220209 - 2¹³ = 102112212017 is a prime.

It is a super-2 number, since 2×102112220209² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102112220209.

It is not a weakly prime, because it can be changed into another prime (102112229209) 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, 51056110104 + 51056110105.

It is an arithmetic number, because the mean of its divisors is an integer number (51056110105).

Almost surely, 2^102112220209 is an apocalyptic number.

It is an amenable number.

102112220209 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112220209 is an equidigital number, since it uses as much as digits as its factorization.

102112220209 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 22.

The spelling of 102112220209 in words is "one hundred two billion, one hundred twelve million, two hundred twenty thousand, two hundred nine".