Calculation of the correlation, relativistic, and QED corrections to the total electron binding energy in atoms and their nuclear charge dependence

We present relativistic many-body calculations of the total electron binding energy of neutral atoms up to the element with $Z=120$. The binding energy for ions may be found by subtracting known ionization potentials. The accuracy of the results for $17<Z\ensuremath{\le}103$ significantly exceeds that in NIST tables (there are no data for $Z>103$ there). We fit the numerical results for binding energies by an analytical function of $Z$. We also calculate numerical values and determine the dependence on $Z$ of the correlation corrections, Dirac and Breit relativistic corrections, and quantum electrodynamics corrections.