It still takes me maybe 50-100 applications before I find the right job every time I go searching.
It's easy to get discouraged but just take breaks when you need to and keep trying. At least, that's what I do!
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Having worked in HR - you are trapped in the ATS system black hole. Never apply for a job cold. Always have an employee refer you in. You will 3x your chances (from 2% to 6%) with that one decision.
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It might be better to focus on quality over quantity in this case. Has anyone reviewed your resume and given pointers?
To get some data points with others' experience, how long does the period of submitting 50–100 applications take? How about time between first contact to hire? (That is, for a given company you've ended up working for, how long between submitting your application to that company and receiving an offer?)