Systems, apparatuses, and methods related to a hypervisor status register in a computer processor are described. For example, a memory coupled to the computer processor can store instructions of routines of predefined, non-hierarchical domains. The computer processor can store a value in the hypervisor status register during a power up process of the computer system. The value stored in the hypervisor status register that identifies whether or not an operating hypervisor is present in the computer system. The computer processor can configure its operations (e.g., address translation) based on the value stored in the hypervisor status register.