114512400111097 has 2 divisors, whose sum is σ = 114512400111098. Its totient is φ = 114512400111096.

The previous prime is 114512400111061. The next prime is 114512400111163. The reversal of 114512400111097 is 790111004215411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112082430436201 + 2429969674896 = 10586899^2 + 1558836^2 .

It is an emirp because it is prime and its reverse (790111004215411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114512400111097 - 2²³ = 114512391722489 is a prime.

It is a super-2 number, since 2×114512400111097² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (114512400111037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57256200055548 + 57256200055549.

It is an arithmetic number, because the mean of its divisors is an integer number (57256200055549).

Almost surely, 2^{114512400111097} is an apocalyptic number.

It is an amenable number.

114512400111097 is a deficient number, since it is larger than the sum of its proper divisors (1).

114512400111097 is an equidigital number, since it uses as much as digits as its factorization.

114512400111097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 37.

The spelling of 114512400111097 in words is "one hundred fourteen trillion, five hundred twelve billion, four hundred million, one hundred eleven thousand, ninety-seven".