2112112002017 has 2 divisors, whose sum is σ = 2112112002018. Its totient is φ = 2112112002016.

The previous prime is 2112112001983. The next prime is 2112112002043. The reversal of 2112112002017 is 7102002112112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2060025807841 + 52086194176 = 1435279^2 + 228224^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112112002017 - 2²⁴ = 2112095224801 is a prime.

It is a super-3 number, since 3×2112112002017³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2112112002017.

It is not a weakly prime, because it can be changed into another prime (2112112002317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056056001008 + 1056056001009.

It is an arithmetic number, because the mean of its divisors is an integer number (1056056001009).

Almost surely, 2^{2112112002017} is an apocalyptic number.

It is an amenable number.

2112112002017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112112002017 is an equidigital number, since it uses as much as digits as its factorization.

2112112002017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 2112112002017 its reverse (7102002112112), we get a palindrome (9214114114129).

The spelling of 2112112002017 in words is "two trillion, one hundred twelve billion, one hundred twelve million, two thousand, seventeen".