414102314201 has 2 divisors, whose sum is σ = 414102314202. Its totient is φ = 414102314200.

The previous prime is 414102314167. The next prime is 414102314207. The reversal of 414102314201 is 102413201414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 325133742025 + 88968572176 = 570205^2 + 298276^2 .

It is a cyclic number.

It is not a de Polignac number, because 414102314201 - 2¹⁸ = 414102052057 is a prime.

It is not a weakly prime, because it can be changed into another prime (414102314207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207051157100 + 207051157101.

It is an arithmetic number, because the mean of its divisors is an integer number (207051157101).

Almost surely, 2^414102314201 is an apocalyptic number.

It is an amenable number.

414102314201 is a deficient number, since it is larger than the sum of its proper divisors (1).

414102314201 is an equidigital number, since it uses as much as digits as its factorization.

414102314201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 414102314201 its reverse (102413201414), we get a palindrome (516515515615).

The spelling of 414102314201 in words is "four hundred fourteen billion, one hundred two million, three hundred fourteen thousand, two hundred one".