Bittrex is an exchange that like to stay compliance with US financial system and laws, I pretty doubt they will have their native token like other exchanges. I read of bittrex backing bitsdaq exchange based in Singapore and they have their native token called tagged bqqq, maybe Binance will have a stalk in the exchange.
Currently Bittrex wallet already has 1,100,000 bqqq tokens on its internal. And continues to increase....