206340456100001 has 2 divisors, whose sum is σ = 206340456100002. Its totient is φ = 206340456100000.

The previous prime is 206340456099919. The next prime is 206340456100007. The reversal of 206340456100001 is 100001654043602.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204005488736401 + 2334967363600 = 14283049^2 + 1528060^2 .

It is a cyclic number.

It is not a de Polignac number, because 206340456100001 - 2³⁰ = 206339382358177 is a prime.

It is not a weakly prime, because it can be changed into another prime (206340456100007) 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, 103170228050000 + 103170228050001.

It is an arithmetic number, because the mean of its divisors is an integer number (103170228050001).

Almost surely, 2^{206340456100001} is an apocalyptic number.

It is an amenable number.

206340456100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

206340456100001 is an equidigital number, since it uses as much as digits as its factorization.

206340456100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 206340456100001 in words is "two hundred six trillion, three hundred forty billion, four hundred fifty-six million, one hundred thousand, one".