Annoyingness is a state of being irritating or bothersome. If you are annoyed, you may feel impatient, angry, or upset. There are many different synonyms for the word annoyingness, depending on the specific situation. Some alternatives include irritation, vexation, exasperation, irritation, aggravation, frustration, and displeasure. Other synonyms that capture the same feeling but with a different tone include grating, nettling, irksomeness, and provocation. Additionally, one could use phrases such as "getting on one's nerves" to express the same sentiment in a more colloquial manner. Ultimately, the exact synonym used will depend on the context and the speaker's personal style.