402200310020017 has 2 divisors, whose sum is σ = 402200310020018. Its totient is φ = 402200310020016.

The previous prime is 402200310019967. The next prime is 402200310020029. The reversal of 402200310020017 is 710020013002204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 283464331287201 + 118735978732816 = 16836399^2 + 10896604^2 .

It is a cyclic number.

It is not a de Polignac number, because 402200310020017 - 2¹⁹ = 402200309495729 is a prime.

It is a super-3 number, since 3×402200310020017³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 402200310020017.

It is not a weakly prime, because it can be changed into another prime (402200310020917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201100155010008 + 201100155010009.

It is an arithmetic number, because the mean of its divisors is an integer number (201100155010009).

Almost surely, 2^{402200310020017} is an apocalyptic number.

It is an amenable number.

402200310020017 is a deficient number, since it is larger than the sum of its proper divisors (1).

402200310020017 is an equidigital number, since it uses as much as digits as its factorization.

402200310020017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 22.

The spelling of 402200310020017 in words is "four hundred two trillion, two hundred billion, three hundred ten million, twenty thousand, seventeen".