The thermodynamic and magnetic properties of electrons in superlattices on the surface of a nanotube in a longitudinal magnetic field are investigated. It is shown that the specific heat of nondegenerate electron gas in superlattice on the surface of a nanotube oscillates with the change in the magnetic flux. With the increase in effective mass, the magnetization in identical and nonidentical superlattices on the surface of a nanotube are close to each other. Magnetization has a “saw-tooth” form as a function of a magnetic field. For the lattice of nanotubes with two different radii, ordinary compensation points, at which the magnetization vanishes at fixed values of the magnetic field strength, are found.