Why can't I find out about my social security, and a trip to the local social security office didn't give me any information. I was given insurance by my company around 2006.

If you can't find it at your local social security either, it just means you're not on social security at all anymore.

I don't know from which point of view you found the company to participate in 2006, you can ask the company to provide the year's social insurance payment receipts to prove that the unit does participate in the insurance, and then to the labor arbitration complaint to require the enterprise and the social security to determine whether you participate in the insurance.