2002112220109 has 2 divisors, whose sum is σ = 2002112220110. Its totient is φ = 2002112220108.

The previous prime is 2002112220077. The next prime is 2002112220127. The reversal of 2002112220109 is 9010222112002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1857556378084 + 144555842025 = 1362922^2 + 380205^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002112220109 - 2⁵ = 2002112220077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2002112220109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002112280109) 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, 1001056110054 + 1001056110055.

It is an arithmetic number, because the mean of its divisors is an integer number (1001056110055).

Almost surely, 2^{2002112220109} is an apocalyptic number.

It is an amenable number.

2002112220109 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002112220109 is an equidigital number, since it uses as much as digits as its factorization.

2002112220109 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 2002112220109 in words is "two trillion, two billion, one hundred twelve million, two hundred twenty thousand, one hundred nine".