102112202009 has 2 divisors, whose sum is σ = 102112202010. Its totient is φ = 102112202008.

The previous prime is 102112201981. The next prime is 102112202029. The reversal of 102112202009 is 900202211201.

It is a happy number.

It is an a-pointer prime, because the next prime (102112202029) can be obtained adding 102112202009 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54415825984 + 47696376025 = 233272^2 + 218395^2 .

It is an emirp because it is prime and its reverse (900202211201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102112202009 - 2²⁰ = 102111153433 is a prime.

It is not a weakly prime, because it can be changed into another prime (102112202029) 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, 51056101004 + 51056101005.

It is an arithmetic number, because the mean of its divisors is an integer number (51056101005).

Almost surely, 2^102112202009 is an apocalyptic number.

It is an amenable number.

102112202009 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112202009 is an equidigital number, since it uses as much as digits as its factorization.

102112202009 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 102112202009 in words is "one hundred two billion, one hundred twelve million, two hundred two thousand, nine".