We present a two-dimensional mapping of the gas flux distributions, as well as of the gas and stellar kinematics in the inner 220 pc of the Seyfert galaxy NGC 2110, using K-band integral field spectroscopy obtained with the Gemini Near-infrared Integral Field Spectrograph at a spatial resolution of approximate to 24 pc and spectral resolution of approximate to 40 km s(-1). The H-2 lambda 2.1218 mu m emission extends over the whole field of view and is attributed to heating by X-rays from the AGN and/or by shocks, while the Br gamma emission is restricted to a bipolar region extending along the south-east-north-west direction. The masses of the warm molecular gas and of the ionized gas are MH2 approximate to 1.4 x 10(3)M(circle dot) and M-HII approximate to 1.8 x 10(6)M(circle dot), respectively. The stellar kinematics present velocity dispersions reaching 250 km s(-1) and a rotation pattern reaching an amplitude of 200 km s(-1). The gas velocity fields present a similar rotation pattern but also additional components that we attribute to inflows and outflows most clearly observed in the molecular gas emission. The inflows are observed beyond the inner 70 pc and are associated with a spiral arm seen in blueshift to the north-east and another in redshift to the south-west. We have estimated a mass inflow rate in warm molecular gas of approximate to 4.6 x 10(-4)M(circle dot) yr(-1). Within the inner 70 pc, another kinematic component is observed in the H2 emission that can be interpreted as due to a bipolar nuclear outflow oriented along the east-west direction, with a mass outflow rate of approximate to 4.3 x 10(-4)M(circle dot) yr(-1) in warm H-2.