The very anomalous
normal state properties and superconductivity of electron-doped supercon-ducting cuprates
with the T* structure are discussed. The literature values of high mobilities for electrons
and holes are explained by the electrons and holes existing in different layers. The
annealing procedures necessary for superconductivity produce oxygen-vacancy negative-U
pairing centers. The relative insensitivity of Tc to the annealing condition is attributed
to stabilization of the chemical potential near the middle of the narrow oxygen band formed
by oxygen vacancies where the electronic entropy is large.