102202020202109 has 2 divisors, whose sum is σ = 102202020202110. Its totient is φ = 102202020202108.

The previous prime is 102202020202001. The next prime is 102202020202111. The reversal of 102202020202109 is 901202020202201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77556256399609 + 24645763802500 = 8806603^2 + 4964450^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102202020202109 is a prime.

It is a super-2 number, since 2×102202020202109² (a number of 29 digits) contains 22 as substring.

Together with 102202020202111, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102202020202189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101010101054 + 51101010101055.

It is an arithmetic number, because the mean of its divisors is an integer number (51101010101055).

Almost surely, 2^{102202020202109} is an apocalyptic number.

It is an amenable number.

102202020202109 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202020202109 is an equidigital number, since it uses as much as digits as its factorization.

102202020202109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 102202020202109 in words is "one hundred two trillion, two hundred two billion, twenty million, two hundred two thousand, one hundred nine".