  Using the first-principles calculations, we report the existence of the
single-layer (SL) di-titanium oxide Ti$_2$O (labeled as MOene) that constructs
a novel family of MXene based on transition metal oxides. This MOene material
strongly contrasts the conventional ones consisting of transition metal
carbides and/or nitrides. SL Ti$_2$O has high thermal and dynamical stabilities
due to the strong Ti$-$O ionic bonding interactions. Moreover, this material is
an intrinsic electride and exhibits extremely low diffusion barriers of
$\sim$12.0 and 6.3 meV for Li- and Na diffusion, respectively. When applied as
anode materials in lithium-ion batteries and sodium-ion batteries, it possesses
a high energy storage capacity (960.23 mAhg$^{-1}$), surpassing the traditional
MXenes-based anodes. The superb electrochemical performance stems from the
existed anionic electron on Ti$_2$O surface. Astonishingly, SL Ti$_{2}$O is
also determined to be a superconductor with a superconducting transition
temperature (\textit{T$_{c}$}) of $\sim$9.8 K, which originates from the
soft-mode of the first acoustic phonon branch and enhanced electron-phonon
coupling in the low-frequency region. Our finding broadens the family of MXenes
and would facilitate more experimental efforts toward future nanodevices.
