114001122321 has 6 divisors (see below), whose sum is σ = 164668287810. Its totient is φ = 76000748208.

The previous prime is 114001122293. The next prime is 114001122383. The reversal of 114001122321 is 123221100411.

114001122321 is a `hidden beast` number, since 11 + 400 + 11 + 223 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69854490000 + 44146632321 = 264300^2 + 210111^2 .

It is not a de Polignac number, because 114001122321 - 2⁵ = 114001122289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114001122294 and 114001122303.

It is not an unprimeable number, because it can be changed into a prime (114001122821) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6333395676 + ... + 6333395693.

It is an arithmetic number, because the mean of its divisors is an integer number (27444714635).

Almost surely, 2^114001122321 is an apocalyptic number.

It is an amenable number.

114001122321 is a deficient number, since it is larger than the sum of its proper divisors (50667165489).

114001122321 is a wasteful number, since it uses less digits than its factorization.

114001122321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12666791375 (or 12666791372 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 114001122321 its reverse (123221100411), we get a palindrome (237222222732).

The spelling of 114001122321 in words is "one hundred fourteen billion, one million, one hundred twenty-two thousand, three hundred twenty-one".