414330102312221 has 2 divisors, whose sum is σ = 414330102312222. Its totient is φ = 414330102312220.

The previous prime is 414330102312209. The next prime is 414330102312263. The reversal of 414330102312221 is 122213201033414.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 277158900648100 + 137171201664121 = 16648090^2 + 11712011^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414330102312221 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414330102314221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207165051156110 + 207165051156111.

It is an arithmetic number, because the mean of its divisors is an integer number (207165051156111).

Almost surely, 2^{414330102312221} is an apocalyptic number.

It is an amenable number.

414330102312221 is a deficient number, since it is larger than the sum of its proper divisors (1).

414330102312221 is an equidigital number, since it uses as much as digits as its factorization.

414330102312221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 414330102312221 its reverse (122213201033414), we get a palindrome (536543303345635).

The spelling of 414330102312221 in words is "four hundred fourteen trillion, three hundred thirty billion, one hundred two million, three hundred twelve thousand, two hundred twenty-one".