2112100001017 has 2 divisors, whose sum is σ = 2112100001018. Its totient is φ = 2112100001016.

The previous prime is 2112100000987. The next prime is 2112100001119. The reversal of 2112100001017 is 7101000012112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1647472364521 + 464627636496 = 1283539^2 + 681636^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112100001017 - 2¹¹ = 2112099998969 is a prime.

It is a super-2 number, since 2×2112100001017² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112100001617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056050000508 + 1056050000509.

It is an arithmetic number, because the mean of its divisors is an integer number (1056050000509).

Almost surely, 2^{2112100001017} is an apocalyptic number.

It is an amenable number.

2112100001017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112100001017 is an equidigital number, since it uses as much as digits as its factorization.

2112100001017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 2112100001017 its reverse (7101000012112), we get a palindrome (9213100013129).

The spelling of 2112100001017 in words is "two trillion, one hundred twelve billion, one hundred million, one thousand, seventeen".