I discuss a host of bizarre properties of graphene, a recently discovered two-dimensional form of carbon. First, we focus on the experiments probing electrons in graphene, which behave just like zero-mass relativistic particles, via electrical transport measurements. We demonstrate that it is possible to reach very high electron mobility in suspended graphene devices and that interesting correlated electron phenomena can be observed. Next, we explore mechanical properties of graphene, both the toughest and the lightest material in existence, using MHz-frequency electromechanical resonators fabricated out of individual graphene sheets. The applications of these resonators include very sensitive mass sensing. Finally, we touch upon chemistry in the presence in graphene and demonstrate that graphene can catalyze chemical reactions.