Can I buy social security insurance separately?

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Social security itself includes medical care, pension, unemployment, work injury and maternity, which are collectively referred to as five insurances. Medical insurance is just a branch of social security. So there is something wrong with your statement.

Employee social security includes five insurances, which are inseparable; Pension insurance and medical insurance for flexible employees can be separated in some places; The endowment insurance for urban and rural residents and the new rural cooperative medical insurance for urban residents can also be separated, which is not directly related.