2112001022017 has 2 divisors, whose sum is σ = 2112001022018. Its totient is φ = 2112001022016.

The previous prime is 2112001021997. The next prime is 2112001022059. The reversal of 2112001022017 is 7102201002112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1954392816016 + 157608206001 = 1397996^2 + 396999^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112001022017 - 2¹⁹ = 2112000497729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2112001021985 and 2112001022003.

It is not a weakly prime, because it can be changed into another prime (2112001022617) 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, 1056000511008 + 1056000511009.

It is an arithmetic number, because the mean of its divisors is an integer number (1056000511009).

Almost surely, 2^{2112001022017} is an apocalyptic number.

It is an amenable number.

2112001022017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112001022017 is an equidigital number, since it uses as much as digits as its factorization.

2112001022017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 2112001022017 its reverse (7102201002112), we get a palindrome (9214202024129).

The spelling of 2112001022017 in words is "two trillion, one hundred twelve billion, one million, twenty-two thousand, seventeen".