This work deals with an analysis of drugs carriers based on the structure of a carbon nanotube using large-scale atomistic molecular dynamics simulations. The analyzed systems link several functions in a single architecture. They are as follows: (i) the sidewalls and tips of carbon nanotubes are covalently functionalized by polyethylene glycol-folic acid conjugates, and this approach allows for creation of hydrophytic and biocompatible systems; (ii) doxorubicin is kept in the internal space of a carbon nanotube as a mixture with dyes (p-phenylenediamine or neutral red)-it allows for pH-controlled release or alteration of the interaction topology; (iii) the mixture of doxorubicin and dyes in the nanotube interior is additionally sealed by fullerene nanoparticles which act as pistons at acidic pH and loosen the tangle of polyethylene glycol chains at the nanotube tips. This enhances the release of doxorubicin from the nanotube when compared to the analogous system but without the fullerene caps; (iv) another function of the carrier can be activated by filling of the fullerenes by magnetic material-then, the carrier can be visualized by means of magnetic resonance imaging, it can realize magnetic hyperthermia of tumor cells, and intense rotation of the nanoparticles can be induced by the application of an external magnetic field. That rotation enhances the release of doxorubicin from the nanotube and leads to the increase of the rotational temperature. The studies show that the proposed design of the drug-doxorubicin carrier reveals very promising properties. Its fabrication is absolutely feasible, as all individual stages necessary for its construction have been confirmed in the literature.