2001020201017 has 2 divisors, whose sum is σ = 2001020201018. Its totient is φ = 2001020201016.

The previous prime is 2001020200987. The next prime is 2001020201039. The reversal of 2001020201017 is 7101020201002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1973642858496 + 27377342521 = 1404864^2 + 165461^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001020201017 - 2⁷ = 2001020200889 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001020201057) 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, 1000510100508 + 1000510100509.

It is an arithmetic number, because the mean of its divisors is an integer number (1000510100509).

Almost surely, 2^{2001020201017} is an apocalyptic number.

It is an amenable number.

2001020201017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001020201017 is an equidigital number, since it uses as much as digits as its factorization.

2001020201017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 16.

Adding to 2001020201017 its reverse (7101020201002), we get a palindrome (9102040402019).

The spelling of 2001020201017 in words is "two trillion, one billion, twenty million, two hundred one thousand, seventeen".