12101000012089 has 2 divisors, whose sum is σ = 12101000012090. Its totient is φ = 12101000012088.

The previous prime is 12101000012047. The next prime is 12101000012141. The reversal of 12101000012089 is 98021000010121.

12101000012089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11821494297600 + 279505714489 = 3438240^2 + 528683^2 .

It is a cyclic number.

It is not a de Polignac number, because 12101000012089 - 2⁹ = 12101000011577 is a prime.

It is a super-2 number, since 2×12101000012089² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12101000012009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050500006044 + 6050500006045.

It is an arithmetic number, because the mean of its divisors is an integer number (6050500006045).

Almost surely, 2^{12101000012089} is an apocalyptic number.

It is an amenable number.

12101000012089 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101000012089 is an equidigital number, since it uses as much as digits as its factorization.

12101000012089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 12101000012089 in words is "twelve trillion, one hundred one billion, twelve thousand, eighty-nine".