2112101100217 has 2 divisors, whose sum is σ = 2112101100218. Its totient is φ = 2112101100216.

The previous prime is 2112101100199. The next prime is 2112101100223. The reversal of 2112101100217 is 7120011012112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1570800995856 + 541300104361 = 1253316^2 + 735731^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112101100217 - 2²³ = 2112092711609 is a prime.

It is a super-3 number, since 3×2112101100217³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112101100194 and 2112101100203.

It is not a weakly prime, because it can be changed into another prime (2112101100287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056050550108 + 1056050550109.

It is an arithmetic number, because the mean of its divisors is an integer number (1056050550109).

Almost surely, 2^{2112101100217} is an apocalyptic number.

It is an amenable number.

2112101100217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112101100217 is an equidigital number, since it uses as much as digits as its factorization.

2112101100217 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 19.

Adding to 2112101100217 its reverse (7120011012112), we get a palindrome (9232112112329).

The spelling of 2112101100217 in words is "two trillion, one hundred twelve billion, one hundred one million, one hundred thousand, two hundred seventeen".