inverting op amp

Depends on the input bias current - a (very) small current which flows out of op-amp inputs. For a JFET-input op-amp, with a bias current of 200pA, it would shift the ground reference level by (10e3-910) * 200e-12 = 1.8 micro-volts ! I leave it for the student to calculate the effect of this on output voltage (of a x10 amplifier) ...

There would be a change in offset voltage by offset current x 9090. There would be also an increase in noise voltage by around 3-5dB, depending on the current- and voltage noise figures of the opamp. The lowest noise would be achieved with the +input grounded.