Black holes are some of the most enduring objects in the universe. They can last for extremely long periods of time, much longer than the current age of the universe.
The lifetime of a black hole depends on its mass and its rate of mass loss. Black holes can lose mass through a process called Hawking radiation, in which they emit particles and radiation. The rate at which a black hole loses mass through Hawking radiation is inversely proportional to its mass, meaning that the more massive a black hole is, the slower it will lose mass. As a result, the lifetime of a black hole increases with its mass.
For example, a black hole with a mass of 10 solar masses would have a lifetime of about 10^67 years, while a black hole with a mass of 1000 solar masses would have a lifetime of about 10^104 years. These lifetimes are much longer than the current age of the universe, which is about 13.8 billion years.
It is important to note that the above estimates are based on the assumption that black holes lose mass only through Hawking radiation. In reality, black holes can also lose mass through other processes, such as the accretion of matter from their surroundings. However, these additional mass loss mechanisms are generally much less significant than Hawking radiation, especially for more massive black holes.