I think you meant hydrogen peroxide for H₂O₂. So, how do the properties of water compare with those of hydrogen peroxide considering they have the same elements in their constitution, although in different proportions?
First of all, both may occur naturally but the hydrogen peroxide is less common as it is very unstable and two H₂O₂ are quickly transformed into two molecules of H₂O and one molecule of O₂. Hydrogen peroxide is a clear liquid as it is the water. It has a higher boiling point (150ºC) than the water (100ºC). Also, when compared to water, hydrogen peroxide has a stronger oxidizing and reducing power - thanks to this, hydrogen peroxide has a bleaching action. Water is a better solvent than hydrogen peroxide because it has a better polar spacial structure to bind to polar solutes.