This article presents a fully programmable topological photonic chip that integrates large-scale silicon photonic nanocircuits and microresonators. The chip allows individual control of artificial atoms and their interactions, enabling dynamic topological phase transitions (TPTs), statistical topological phenomena, and the observation of diverse photonic topological insulators (TIs). The chip's programmability allows for rapid reconfiguration to implement multifunctionalities, making it a versatile platform for fundamental science and topological technologies. Key features include the ability to control structural parameters and geometrical configurations, robustness against weak disorders, and the observation of counterintuitive topological Anderson phase transitions induced by strong disorders. The chip's capabilities are demonstrated through experiments on Floquet TIs, statistical verification of topological robustness, and the realization of TIs in various lattice structures, including one-dimensional and two-dimensional lattices. The work highlights the potential of programmable photonic integrated circuits in advancing topological photonics and its applications in areas such as telecommunication, optical information processing, and quantum information processing.This article presents a fully programmable topological photonic chip that integrates large-scale silicon photonic nanocircuits and microresonators. The chip allows individual control of artificial atoms and their interactions, enabling dynamic topological phase transitions (TPTs), statistical topological phenomena, and the observation of diverse photonic topological insulators (TIs). The chip's programmability allows for rapid reconfiguration to implement multifunctionalities, making it a versatile platform for fundamental science and topological technologies. Key features include the ability to control structural parameters and geometrical configurations, robustness against weak disorders, and the observation of counterintuitive topological Anderson phase transitions induced by strong disorders. The chip's capabilities are demonstrated through experiments on Floquet TIs, statistical verification of topological robustness, and the realization of TIs in various lattice structures, including one-dimensional and two-dimensional lattices. The work highlights the potential of programmable photonic integrated circuits in advancing topological photonics and its applications in areas such as telecommunication, optical information processing, and quantum information processing.