12102111001289 has 2 divisors, whose sum is σ = 12102111001290. Its totient is φ = 12102111001288.

The previous prime is 12102111001249. The next prime is 12102111001297. The reversal of 12102111001289 is 98210011120121.

12102111001289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10566660409600 + 1535450591689 = 3250640^2 + 1239133^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12102111001289 is a prime.

It is a super-2 number, since 2×12102111001289² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12102111001249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6051055500644 + 6051055500645.

It is an arithmetic number, because the mean of its divisors is an integer number (6051055500645).

Almost surely, 2^{12102111001289} is an apocalyptic number.

It is an amenable number.

12102111001289 is a deficient number, since it is larger than the sum of its proper divisors (1).

12102111001289 is an equidigital number, since it uses as much as digits as its factorization.

12102111001289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 29.

The spelling of 12102111001289 in words is "twelve trillion, one hundred two billion, one hundred eleven million, one thousand, two hundred eighty-nine".