Is it useful to sue the social security company for running away?

Useful. You can entrust a lawyer to complain to the labor department where the unit is located or apply for labor arbitration to protect rights.

China's "Provisional Regulations on the Collection and Payment of Social Insurance Fees" clearly stipulates that the social management department is responsible for the collection and payment of social insurance fees, and the employer must handle social insurance for workers according to law. If the employer has gone through the social security formalities for the employee, but the employer fails to pay the social insurance premium for the employee according to the regulations, regardless of whether the social insurance premium is unpaid or refused to be paid, the social management department can force the collection according to law.