What makes you think this is possible?
Here's some estimates I found:
"Field grown fresh market tomatoes can be planted at densities of 3,200â€“5,700 plants per acre if unstaked or, 2,400â€“3,200 plants per acre if staked. Processing tomatoes which are grown unstaked can be planted at densities of 4,000â€“4,800 plants per acre." https://articles.extension.org/pages/186 ... c-tomatoes
Estimates of production per plant vary widely from 5 to 20 lbs. Using a fairly generous estimate of 15 # per plant and 5000 plants per acre gives you a maximum yield of 75000# = 37.5 tons.
gives estimates of anywhere from 36,300 # to 58,080# per acre which is 18 to 29 tons per acre.
The highest estimate I saw was for a brand new tomato variety bred to be very high yielding: "New tomato variety that yields 19 kg a plant" https://www.thehindu.com/sci-tech/agricu ... 113247.ece
It is reputed to yield 38 metric tonnes per acre = 42 US tons.
So what makes you think you can produce more than double the highest reputed yield per acre?
If you are a backyard grower growing in say 8x4 foot raised beds, you can probably baby a few plants along enough to produce what would be a very high yield if multiplied out to an acre equivalent (but still not 100 tons per acre). But that is not the same as actually getting an acre to produce that much.
Another way to look at this is to break it down to pounds per square foot. 100 tons = 200,000 pounds. An acre = 43560 sq feet. So 100 tons per acre = 4.59 lbs per sq foot. But very close spacing of tomatoes is one for four square feet. So 4 x 4.59 18.4 lbs. So to get 100 tons per acre you would have to plant 10,890 tomato plants in the acre (1 per 4 sq ft) which is more than double the highest recommended planting density. Then they would have to produce 18.4 pounds per plant which is more than any but the highest yielding plants can produce. The close spacing of one for four sq ft comes from the square foot gardening folks who do that by creating their own highly enriched growing medium, with no actual soil in it. You can't do that for an acre. So your inputs of fertilizer, water, etc etc would be very high and expensive. And tomatoes grown like that would be very vulnerable to diseases and pests. So you would also have very high inputs of pesticides, fungicides, etc. Also very expensive.
And if you work on pushing quantity past all normal limits, you will do it at the expense of quality. What you would end up with would likely be big, bland, watery, tasteless tomatoes ....