There are indeed larger grant programs. Those tend to be collaborative affairs. You have multiple PIs across different institutes going in on the same submissio

There are indeed larger grant programs. Those tend to be collaborative affairs. You have multiple PIs across different institutes going in on the same submission. Each person contributes a piece of a larger (hopefully cohesive) whole. It's generally less work per person compared to a solo submission for a smaller pot, but it's one of those cases where it's crucial to have established working relationships in your research community.