Acrylic paints use the same pigments as oil paints, the difference is the binder used. Acrylic paints use a polymer emulsion as a binder - essentially a resin. So, acrylics are basically like a plastic, they are durable and strong.
Acrylic paints can last decades and longer - we don’t know the actual endurance of acrylics as they are an invention of the early 20th century, and they’ve only been in use for painting since the 1950s, certainly not enough time to give a complete picture of their longevity in actual experience rather than in testing.
Acrylics are so far the most durable paints but they can go through chemical changes that would impact their durability. For instance if a lot of water is used to dilute the paints, it can make it more fragile. And we don’t know the long-term impact of environmental issues, reactions to moisture/dryness, smoke, heat/cold, household odors, ultraviolet light, and such. But they are made to be as durable as possible. They are susceptible to environment just as much as oil paints would be - they can crack and chip if they lose some of their flexibility.
But, with care and proper treatment, limiting their exposure to heat and light sources, and other issues that all artworks should be protected from, they can certainly last 100 years or better. Only time will tell, but for now, I can speak with authority of personally having some paintings from the 1970's that are relatively unchanged, that’s 40 years. Pigments too have a vulnerability, and all paintings can shift a bit over time. They will pick up dirt, they will be affected by smoke, if impasto techniques are used, the thickness of the paints may create cracking, and over time the pigment colors may change a bit, something that would just as much impact oil and watercolor paintings as well.
All in all though, acrylic paints are highly durable. The best way to ensure longevity is to use the best recommendations for displaying the works to keep them safe.