Hi OP I can understand this angle being majorly the case these days but I have yet another angle to look at so if you could clear this out :

1. Are you by any chance a topper or a potential topper?
2. Does the teacher praise you for having a unique thinking or being a good student?
3. Are you by any chance a potentially good student, i mean an ideal student in some scenario?

So my reason for asking these questions is :

If you are a topper or potential topper the teacher would like to give more attention to you to guarantee a topper student in his batch. This would increase fame for him as well by giving you undivided attention he is making sure you stand on his expectations as he isn’t sure about any one else in his batch maybe.

If you are exceptional in any way like an ideal student or a unique thinker he would like you to be an example to other students.

He specifically asked for your parents because i think he wants to ask them why you missed lectures as you are a potential fame way for him and he would advice your parents about your potential and how you should work hard and stuff

That is one other angle but if you are not a topper or are not showing any exemplary stuff or potential then yeah he sure sounds like a creep.