We have 3 layers of skin. Here's a website that tells about them. It's from the American Academy of Dermatology, which is doctors who work with skin problems, so I figure it's a good source:

layers-of-skin

The outer layer of skin is the epidermis. The bottom of the epidermis makes new skin cells, and the old skin cells fall off the top layer, which we see. The epidermis also makes the melanin that gives our skin its color. The epidermis is also a barrier to infection.

The middle layer of skin is the dermis. It's thick, and the diagram shows little blood vessels in it - they are capillaries. The dermis also has oil glands and sweat glands and hair follicles and tubes that carry lymph.

Those are the 2 main layers of skin. Then there's a layer of subcutaneous fat under them, which is sort of a layer of skin. 'Subcutaneous' means 'under the skin.'