414310002222101 has 2 divisors, whose sum is σ = 414310002222102. Its totient is φ = 414310002222100.

The previous prime is 414310002222089. The next prime is 414310002222107. The reversal of 414310002222101 is 101222200013414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235430050312900 + 178879951909201 = 15343730^2 + 13374601^2 .

It is a cyclic number.

It is not a de Polignac number, because 414310002222101 - 2⁶ = 414310002222037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414310002222107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207155001111050 + 207155001111051.

It is an arithmetic number, because the mean of its divisors is an integer number (207155001111051).

Almost surely, 2^{414310002222101} is an apocalyptic number.

It is an amenable number.

414310002222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

414310002222101 is an equidigital number, since it uses as much as digits as its factorization.

414310002222101 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 414310002222101 its reverse (101222200013414), we get a palindrome (515532202235515).

The spelling of 414310002222101 in words is "four hundred fourteen trillion, three hundred ten billion, two million, two hundred twenty-two thousand, one hundred one".