114133412103201 has 24 divisors (see below), whose sum is σ = 170279381725440. Its totient is φ = 73590340212000.

The previous prime is 114133412103169. The next prime is 114133412103209. The reversal of 114133412103201 is 102301214331411.

114133412103201 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 33 + 412 + 10 + 3 + 201 = 666.

It is not a de Polignac number, because 114133412103201 - 2⁵ = 114133412103169 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114133412103209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122086875 + ... + 123018176.

It is an arithmetic number, because the mean of its divisors is an integer number (7094974238560).

Almost surely, 2^{114133412103201} is an apocalyptic number.

It is an amenable number.

114133412103201 is a deficient number, since it is larger than the sum of its proper divisors (56145969622239).

114133412103201 is a wasteful number, since it uses less digits than its factorization.

114133412103201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245106757 (or 245106754 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 114133412103201 its reverse (102301214331411), we get a palindrome (216434626434612).

The spelling of 114133412103201 in words is "one hundred fourteen trillion, one hundred thirty-three billion, four hundred twelve million, one hundred three thousand, two hundred one".