114012541341121 has 2 divisors, whose sum is σ = 114012541341122. Its totient is φ = 114012541341120.

The previous prime is 114012541341107. The next prime is 114012541341131. The reversal of 114012541341121 is 121143145210411.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60769820250000 + 53242721091121 = 7795500^2 + 7296761^2 .

It is a cyclic number.

It is not a de Polignac number, because 114012541341121 - 2⁷ = 114012541340993 is a prime.

It is a super-2 number, since 2×114012541341121² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (114012541341131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57006270670560 + 57006270670561.

It is an arithmetic number, because the mean of its divisors is an integer number (57006270670561).

Almost surely, 2^{114012541341121} is an apocalyptic number.

It is an amenable number.

114012541341121 is a deficient number, since it is larger than the sum of its proper divisors (1).

114012541341121 is an equidigital number, since it uses as much as digits as its factorization.

114012541341121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3840, while the sum is 31.

Adding to 114012541341121 its reverse (121143145210411), we get a palindrome (235155686551532).

The spelling of 114012541341121 in words is "one hundred fourteen trillion, twelve billion, five hundred forty-one million, three hundred forty-one thousand, one hundred twenty-one".