Is it normal that i sweat at school / around my classmates?

Every day, at school, I sweat from my armpits, hands and feet. I do not sweat from anxiety, I feel quite comfortable at school. I don't feel hot either, I sweat all the time, whether it be hot or cold. It is also not hyperhydrosis, since it only happens at school. This has been happening for the past 3 years and has really restricted my freedom of movement. I have to keep my armpits closed, therefore not having freedom on moving my arms around. This makes me look like an idiot. Whenever I shake someone's hand, it becomes awkward as my hands are always sweaty. My feet also sweat excessively, and produce a foul odor. I do use deodorant, but it doesn't seem to do anything. Anti-antiperspirant doesn't seem to work either. This has deteriorated my self-esteem. Please give me some advice