If you want to tank them in a day, yes. Tank them in 10 days and you need 33 tankers. SpaceX is going to have to learn how to store propellants, so by the time they're assembling a fleet of 100 ships, they're going to be able to take their time.
That said, 1000 launches in one day is bonkers. Even given 10 launch towers, that's a launch every 15 minutes. IFT-4 started propellant load 50 minutes before launch. That'll obviously come down, but below 15 minutes? (They've also gotta deliver and stack the vehicles) At least they won't have to keep using lots of liquid Nitrogen to chill the ground support equipment before each launch.
Then there's the question of where you store that much propellant on the ground. A thousand launches plus propellant cargo is approaching 5 million tons of propellant (assuming 120 tons of propellant per tanker). This is all using V1 numbers. Using V2 and V3 Starships should reduce the number of launches, but I wouldn't expect the propellant requirements to change much.
Five million tons of liquid oxygen (it's not all oxygen, of course) would require a sphere with a diameter of 2 km. If we flow the propellants in via pipes to maintain a 15 minute launch cadence on 10 towers, then that's 184,000 tons per hour. Flowing at 10 m/s, that would require a pipe 3 meters in diameter. I'm ignoring the use of Nitrogen, Carbon Dioxide and Helium, though the Nitrogen demands are probably significant as well.
Oh, and water for the deluge system.
Hmmm. I wonder what all the residuals of launch will do to the area. Nitrogen, CO2 exhaust, CO2 fire suppression gas, vented oxygen (and methane?).
In any case, Elon's expectation is that the first fleet will consist of 10 ships. I wonder if he'll name any of them Niña, Pinta, or Santa Maria.
