2102112110209 has 2 divisors, whose sum is σ = 2102112110210. Its totient is φ = 2102112110208.

The previous prime is 2102112110191. The next prime is 2102112110227. The reversal of 2102112110209 is 9020112112012.

It is a balanced prime because it is at equal distance from previous prime (2102112110191) and next prime (2102112110227).

It can be written as a sum of positive squares in only one way, i.e., 1569124506609 + 532987603600 = 1252647^2 + 730060^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102112110209 - 2²⁹ = 2101575239297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2102112110209.

It is not a weakly prime, because it can be changed into another prime (2102112110509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051056055104 + 1051056055105.

It is an arithmetic number, because the mean of its divisors is an integer number (1051056055105).

Almost surely, 2^{2102112110209} is an apocalyptic number.

It is an amenable number.

2102112110209 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102112110209 is an equidigital number, since it uses as much as digits as its factorization.

2102112110209 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 22.

The spelling of 2102112110209 in words is "two trillion, one hundred two billion, one hundred twelve million, one hundred ten thousand, two hundred nine".