The first synthetic inorganic nanotubes were reported in 1992, but owing to the simultaneous discovery of carbon nanotubes they attracted wide international attention only recently. They are distinguished by important peculiarities, from growth mechanisms to the various physical and chemical properties and possible applications. Further analogies to carbon nanotubes, fullerenes, nanobuds, and peapods are presented as the first hybrid inorganic nanotube structures, i.e., nanobuds and “mama” tubes. Their structural and morphological properties determining chemical stability and activity, transport properties, mechanics and interaction with other building blocks in composites are discussed in this article.