Digitization has dramatically facilitated the development of internet data centers (IDCs), which have become necessary demand response resources for distribution networks. To improve equipment utilization, integrated coordination of IDCs, photovoltaics, energy storage systems, and flexible substations is essential. This also ensures power supply reliability and the operational economy of IDC park. This paper proposes a distributionally robust planning method for an IDC park considering operational economy and reliability. First, a coordinated planning model of an IDC park is proposed with multiple resources, in which the workload dispatch of the IDC is incorporated under fault conditions. The reliability index of the IDC park is designed to quantify its reliability cost. Then, considering the fluctuation of distributed generators and workload, a distributionally robust planning model is established. A planning scheme for the IDC park under the worst scenario probability distribution is obtained. Furthermore, the influence of uncertainties on the planning scheme is analyzed. Finally, a practical data center park is used for case studies. The established planning scheme effectively balances the operational economy, reliability, and planning conservatism.