While many of the lanthanides have radioactive isotopes, the majority of lanthanoids are not radioactive. Only some of the isotopes of lanthanoids, like certain isotopes of promethium, are radioactive. Therefore, option (D) is incorrect. The other statements are correct, as lanthanides exhibit trends such as the ionic radius decreasing from La$^{3+}$ to Lu$^{3+}$ due to lanthanoid contraction.