114020400401 has 2 divisors, whose sum is σ = 114020400402. Its totient is φ = 114020400400.

The previous prime is 114020400367. The next prime is 114020400413. The reversal of 114020400401 is 104004020411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108599907025 + 5420493376 = 329545^2 + 73624^2 .

It is a cyclic number.

It is not a de Polignac number, because 114020400401 - 2¹⁸ = 114020138257 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114020400401.

It is not a weakly prime, because it can be changed into another prime (114020400421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57010200200 + 57010200201.

It is an arithmetic number, because the mean of its divisors is an integer number (57010200201).

Almost surely, 2^114020400401 is an apocalyptic number.

It is an amenable number.

114020400401 is a deficient number, since it is larger than the sum of its proper divisors (1).

114020400401 is an equidigital number, since it uses as much as digits as its factorization.

114020400401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 114020400401 its reverse (104004020411), we get a palindrome (218024420812).

The spelling of 114020400401 in words is "one hundred fourteen billion, twenty million, four hundred thousand, four hundred one".