114201102411 has 24 divisors (see below), whose sum is σ = 179965254144. Its totient is φ = 69208173360.

The previous prime is 114201102409. The next prime is 114201102427.

114201102411 is a `hidden beast` number, since 1 + 1 + 420 + 1 + 1 + 0 + 241 + 1 = 666.

114201102411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 114201102411 - 2¹ = 114201102409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114201102311) 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, 1992030 + ... + 2048556.

It is an arithmetic number, because the mean of its divisors is an integer number (7498552256).

Almost surely, 2^114201102411 is an apocalyptic number.

114201102411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114201102411 is a deficient number, since it is larger than the sum of its proper divisors (65764151733).

114201102411 is a wasteful number, since it uses less digits than its factorization.

114201102411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76951 (or 76948 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 114201 and 102411, that added together give a palindrome (216612).

The spelling of 114201102411 in words is "one hundred fourteen billion, two hundred one million, one hundred two thousand, four hundred eleven".