adiposity

n. fatness

In anatomy, adipose tissue or fat is loose connective tissue composed of adipocytes. Its main role is to store energy in the form of fat, although it also cushions and insulates the body. Obesity in humans and most animals is not dependent on the amount of body weight, but on the amount of body fat—specifically adipose tissue. Two types of adipose tissue exist:  white adipose tissue (WAT) and brown adipose tissue (BAT). Adipose tissue also serves as an important endocrine organ by producing recently-discovered hormones such as leptin, resistin and the cytokine TNFα. The formation of adipose tissue appears to be controlled by the adipose gene.
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Adiposity /ad·i·pos·i·ty/ obesity. cerebral adiposity fatness due to cerebral disease, especially of the hypothalamus. adiposity obesity. [more]Adiposity - Community and Resources

Noun
1. having the property of containing fat; "he recommended exercise to reduce my adiposity"
(synonym) adiposeness, fattiness
(hypernym) fatness, fat, blubber, avoirdupois

(n.)
The state of being fat; fatness.