Insensitivity (noun)

1. The quality or state of being indifferent or unaware to the feelings, needs, or suffering of others.
2. Lack of sensitivity or concern for the feelings of others.

Origin:

Derived from the latin word "insensibilis", meaning 'not sensitive'.

Examples:

1. His insensitivity towards her feelings caused her to end the relationship.
2. The insensitivity of the public towards the homeless was disheartening.
3. The company's insensitivity towards its employees led to widespread protests.
4. Her insensitivity in the aftermath of the tragedy made many people upset.
5. The insensitive comments made by the politician caused widespread outrage.