12101122100009 has 2 divisors, whose sum is σ = 12101122100010. Its totient is φ = 12101122100008.

The previous prime is 12101122099987. The next prime is 12101122100047. The reversal of 12101122100009 is 90000122110121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11500427347984 + 600694752025 = 3391228^2 + 775045^2 .

It is an emirp because it is prime and its reverse (90000122110121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12101122100009 - 2⁸ = 12101122099753 is a prime.

It is not a weakly prime, because it can be changed into another prime (12101122150009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050561050004 + 6050561050005.

It is an arithmetic number, because the mean of its divisors is an integer number (6050561050005).

Almost surely, 2^{12101122100009} is an apocalyptic number.

It is an amenable number.

12101122100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101122100009 is an equidigital number, since it uses as much as digits as its factorization.

12101122100009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 12101122100009 in words is "twelve trillion, one hundred one billion, one hundred twenty-two million, one hundred thousand, nine".