20002012220017 has 2 divisors, whose sum is σ = 20002012220018. Its totient is φ = 20002012220016.

The previous prime is 20002012219913. The next prime is 20002012220117. The reversal of 20002012220017 is 71002221020002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19715740138081 + 286272081936 = 4440241^2 + 535044^2 .

It is a cyclic number.

It is not a de Polignac number, because 20002012220017 - 2²³ = 20002003831409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20002012219976 and 20002012220003.

It is not a weakly prime, because it can be changed into another prime (20002012220117) 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, 10001006110008 + 10001006110009.

It is an arithmetic number, because the mean of its divisors is an integer number (10001006110009).

Almost surely, 2^{20002012220017} is an apocalyptic number.

It is an amenable number.

20002012220017 is a deficient number, since it is larger than the sum of its proper divisors (1).

20002012220017 is an equidigital number, since it uses as much as digits as its factorization.

20002012220017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 19.

Adding to 20002012220017 its reverse (71002221020002), we get a palindrome (91004233240019).

The spelling of 20002012220017 in words is "twenty trillion, two billion, twelve million, two hundred twenty thousand, seventeen".