114512400112121 has 16 divisors (see below), whose sum is σ = 126069855962688. Its totient is φ = 104007283436320.

The previous prime is 114512400112043. The next prime is 114512400112189. The reversal of 114512400112121 is 121211004215411.

It is not a de Polignac number, because 114512400112121 - 2¹⁰ = 114512400111097 is a prime.

It is a super-2 number, since 2×114512400112121² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114512400132121) 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 in 15 ways as a sum of consecutive naturals, for example, 37753595 + ... + 40673808.

It is an arithmetic number, because the mean of its divisors is an integer number (7879365997668).

Almost surely, 2^{114512400112121} is an apocalyptic number.

114512400112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114512400112121 is a deficient number, since it is larger than the sum of its proper divisors (11557455850567).

114512400112121 is an equidigital number, since it uses as much as digits as its factorization.

114512400112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78428533 (or 78428511 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 26.

Adding to 114512400112121 its reverse (121211004215411), we get a palindrome (235723404327532).

The spelling of 114512400112121 in words is "one hundred fourteen trillion, five hundred twelve billion, four hundred million, one hundred twelve thousand, one hundred twenty-one".