414343101001 has 2 divisors, whose sum is σ = 414343101002. Its totient is φ = 414343101000.

The previous prime is 414343100923. The next prime is 414343101037. The reversal of 414343101001 is 100101343414.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 350255646976 + 64087454025 = 591824^2 + 253155^2 .

It is a cyclic number.

It is not a de Polignac number, because 414343101001 - 2⁹ = 414343100489 is a prime.

It is not a weakly prime, because it can be changed into another prime (414343101061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207171550500 + 207171550501.

It is an arithmetic number, because the mean of its divisors is an integer number (207171550501).

Almost surely, 2^414343101001 is an apocalyptic number.

It is an amenable number.

414343101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

414343101001 is an equidigital number, since it uses as much as digits as its factorization.

414343101001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 414343101001 its reverse (100101343414), we get a palindrome (514444444415).

The spelling of 414343101001 in words is "four hundred fourteen billion, three hundred forty-three million, one hundred one thousand, one".