127 master collection slots (progress uses this number). That includes separate Normal and Reverse Holo lines where they apply, and each special card (for example SIR or other secrets) as its own row.
The Pokemon API lists 80 unique card products for this set. Of those, 70 are in the main booster print run, and 10 are additional (secret gallery, high collector numbers, etc.).
Rarities and print types (what SIR, secret numbers, and Reverse Holo mean)
Master set
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Collected
0 / 127
127 cards to go
Tap the card for TCGPlayer prices and details. Tap the check to mark owned, or Add all to save everything missing in the current filter to the collection above. List view uses the same filter.