12661066110601 has 2 divisors, whose sum is σ = 12661066110602. Its totient is φ = 12661066110600.

The previous prime is 12661066110577. The next prime is 12661066110709. The reversal of 12661066110601 is 10601166016621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9171085424400 + 3489980686201 = 3028380^2 + 1868149^2 .

It is a cyclic number.

It is not a de Polignac number, because 12661066110601 - 2¹⁵ = 12661066077833 is a prime.

It is not a weakly prime, because it can be changed into another prime (12661066110101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6330533055300 + 6330533055301.

It is an arithmetic number, because the mean of its divisors is an integer number (6330533055301).

Almost surely, 2^{12661066110601} is an apocalyptic number.

It is an amenable number.

12661066110601 is a deficient number, since it is larger than the sum of its proper divisors (1).

12661066110601 is an equidigital number, since it uses as much as digits as its factorization.

12661066110601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 12661066110601 in words is "twelve trillion, six hundred sixty-one billion, sixty-six million, one hundred ten thousand, six hundred one".