10206414430001 has 2 divisors, whose sum is σ = 10206414430002. Its totient is φ = 10206414430000.

The previous prime is 10206414429971. The next prime is 10206414430073. The reversal of 10206414430001 is 10003441460201.

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., 7672905540001 + 2533508890000 = 2770001^2 + 1591700^2 .

It is a cyclic number.

It is not a de Polignac number, because 10206414430001 - 2³⁰ = 10205340688177 is a prime.

It is not a weakly prime, because it can be changed into another prime (10206414432001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5103207215000 + 5103207215001.

It is an arithmetic number, because the mean of its divisors is an integer number (5103207215001).

Almost surely, 2^{10206414430001} is an apocalyptic number.

It is an amenable number.

10206414430001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10206414430001 is an equidigital number, since it uses as much as digits as its factorization.

10206414430001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 10206414430001 its reverse (10003441460201), we get a palindrome (20209855890202).

The spelling of 10206414430001 in words is "ten trillion, two hundred six billion, four hundred fourteen million, four hundred thirty thousand, one".