I've been using plain old baking soda as a deodorant for 25 years. It works fine under most conditions, but if you're sweating rivers, it washes off and you start to stink.
By the way, some years ago our tax dollars paid for a large study on what kind of people produced the worst body odor. Result: white women of western European descent.
Another useful tidbit for cocktail parties.
Sue
where the heck can I get baking soda deodorant?