Mining gets almost all the attention, but miners don't actually decide what counts as valid Bitcoin. Full nodes do. Understanding the difference is the key to understanding why Bitcoin is actually decentralized, rather than just spread across a few large mining operations.
A full node is software, run on an ordinary computer, that downloads and independently verifies the entire Bitcoin blockchain from scratch against Bitcoin's consensus rules: every transaction signature, every block's proof-of-work, every rule about how many bitcoins a block reward is allowed to create. It does not trust any other computer's word for any of it. It checks everything itself.
Miners assemble blocks and compete to add them to the chain. But every full node on the network independently decides whether to accept that block, by checking it against the rules the node itself is running. If a miner tried to break the rules, for example creating more bitcoin than the protocol allows, every honest full node would simply reject that block outright, regardless of how much mining power was behind it. Mining power can decide the order of valid transactions; it cannot force the network to accept invalid ones.
Running a full node requires only ordinary consumer hardware and a broadband connection, deliberately kept accessible so that verification never depends on specialized or expensive equipment. This means no one has to take a mining pool's, an exchange's, or even a software developer's word for what the current rules are. Anyone can independently check for themselves. This is often summarized as Bitcoin's actual security model: don't trust, verify.
Most phone and desktop wallets don't run a full node themselves, that would mean downloading the entire blockchain, hundreds of gigabytes. Instead they use a lighter method (commonly SPV, simplified payment verification) that trusts other nodes for most of the heavy verification while still checking transaction proofs. This is a reasonable convenience tradeoff for everyday use, but it's a different trust model from running your own full node, which verifies absolutely everything independently.
The private key for every Bitcoin wallet on Earth is on this website, even Satoshi's. But even if you try for a million years, you'll never find a funded one.
Try the key collider nowMiners compete to build blocks. Full nodes, run independently by anyone who chooses to, decide whether those blocks are actually valid. That combination, expensive-to-produce blocks checked by cheap-to-run, widely distributed verification, is what keeps any single party, however large, from unilaterally changing Bitcoin's rules. For how those blocks get built in the first place, see how Bitcoin mining works.