12101013133091 has 2 divisors, whose sum is σ = 12101013133092. Its totient is φ = 12101013133090.

The previous prime is 12101013132983. The next prime is 12101013133093. The reversal of 12101013133091 is 19033131010121.

12101013133091 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 is a cyclic number.

It is not a de Polignac number, because 12101013133091 - 2²⁶ = 12100946024227 is a prime.

Together with 12101013133093, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12101013133091.

It is not a weakly prime, because it can be changed into another prime (12101013133093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050506566545 + 6050506566546.

It is an arithmetic number, because the mean of its divisors is an integer number (6050506566546).

Almost surely, 2^{12101013133091} is an apocalyptic number.

12101013133091 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101013133091 is an equidigital number, since it uses as much as digits as its factorization.

12101013133091 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 26.

The spelling of 12101013133091 in words is "twelve trillion, one hundred one billion, thirteen million, one hundred thirty-three thousand, ninety-one".