114100104961 has 2 divisors, whose sum is σ = 114100104962. Its totient is φ = 114100104960.

The previous prime is 114100104953. The next prime is 114100105027. The reversal of 114100104961 is 169401001411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88932186225 + 25167918736 = 298215^2 + 158644^2 .

It is an emirp because it is prime and its reverse (169401001411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114100104961 - 2³ = 114100104953 is a prime.

It is a super-2 number, since 2×114100104961² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (114100104061) 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, 57050052480 + 57050052481.

It is an arithmetic number, because the mean of its divisors is an integer number (57050052481).

Almost surely, 2^114100104961 is an apocalyptic number.

It is an amenable number.

114100104961 is a deficient number, since it is larger than the sum of its proper divisors (1).

114100104961 is an equidigital number, since it uses as much as digits as its factorization.

114100104961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 28.

The spelling of 114100104961 in words is "one hundred fourteen billion, one hundred million, one hundred four thousand, nine hundred sixty-one".