12101114242191 has 32 divisors (see below), whose sum is σ = 18296172240640. Its totient is φ = 7052706215424.

The previous prime is 12101114242187. The next prime is 12101114242207. The reversal of 12101114242191 is 19124241110121.

It is not a de Polignac number, because 12101114242191 - 2² = 12101114242187 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101114242121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154405 + ... + 4921998.

It is an arithmetic number, because the mean of its divisors is an integer number (571755382520).

Almost surely, 2^{12101114242191} is an apocalyptic number.

12101114242191 is a deficient number, since it is larger than the sum of its proper divisors (6195057998449).

12101114242191 is a wasteful number, since it uses less digits than its factorization.

12101114242191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5079655.

The product of its (nonzero) digits is 1152, while the sum is 30.

The spelling of 12101114242191 in words is "twelve trillion, one hundred one billion, one hundred fourteen million, two hundred forty-two thousand, one hundred ninety-one".