10001424134417 has 2 divisors, whose sum is σ = 10001424134418. Its totient is φ = 10001424134416.

The previous prime is 10001424134389. The next prime is 10001424134489. The reversal of 10001424134417 is 71443142410001.

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., 5102001255121 + 4899422879296 = 2258761^2 + 2213464^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001424134417 - 2⁶ = 10001424134353 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001424130417) 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, 5000712067208 + 5000712067209.

It is an arithmetic number, because the mean of its divisors is an integer number (5000712067209).

Almost surely, 2^{10001424134417} is an apocalyptic number.

It is an amenable number.

10001424134417 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001424134417 is an equidigital number, since it uses as much as digits as its factorization.

10001424134417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 32.

Adding to 10001424134417 its reverse (71443142410001), we get a palindrome (81444566544418).

The spelling of 10001424134417 in words is "ten trillion, one billion, four hundred twenty-four million, one hundred thirty-four thousand, four hundred seventeen".