12101114242241 has 2 divisors, whose sum is σ = 12101114242242. Its totient is φ = 12101114242240.

The previous prime is 12101114242207. The next prime is 12101114242313. The reversal of 12101114242241 is 14224241110121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11951685608641 + 149428633600 = 3457121^2 + 386560^2 .

It is a cyclic number.

It is not a de Polignac number, because 12101114242241 - 2¹⁰ = 12101114241217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12101114242241.

It is not a weakly prime, because it can be changed into another prime (12101114242541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050557121120 + 6050557121121.

It is an arithmetic number, because the mean of its divisors is an integer number (6050557121121).

Almost surely, 2^{12101114242241} is an apocalyptic number.

It is an amenable number.

12101114242241 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101114242241 is an equidigital number, since it uses as much as digits as its factorization.

12101114242241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 26.

Adding to 12101114242241 its reverse (14224241110121), we get a palindrome (26325355352362).

The spelling of 12101114242241 in words is "twelve trillion, one hundred one billion, one hundred fourteen million, two hundred forty-two thousand, two hundred forty-one".