Intensity mapping surveys of neutral hydrogen (HI) are a new way to measure the large-scale matter distribution of our Universe over a wide range of redshifts, and thus constrain cosmological parameters describing the Universal expansion. The next generation of radio telescopes and interferometers are being designed and built to optimise the detection of the HI line at low spatial resolution allowing efficient mapping of large volumes. The impact of instrumental systematics of radio observations on cosmological measurements can be significantly reduced by cross-correlating the HI signal with galaxy surveys. The cross-correlation also offers new ways to measure correlations between HI and properties of the optically-selected galaxy samples. I will give an introduction into the HI intensity mapping technique and prospects of the on-going and future experiments, such as the Square Kilometre Array (SKA). I will showcase studies on the potential of future intensity mapping experiments in constraining HI properties, such as the global HI density as well as HI scaling relations in galaxies. I will also present the latest HI intensity mapping detection of Green Bank Telescope data in cross-correlation with the SDSS eBOSS galaxy survey samples.