Why is iota not a real number?

Why is it that iota is not categorized as a real number? What unique properties does iota possess that distinguish it from the realm of real numbers? Could you please elaborate on the mathematical principles behind this distinction? Additionally, how does iota fit into the broader context of mathematical theory and applications? Is there a specific reason why iota is excluded from the classification of real numbers, or is it simply a matter of definition? I'm interested in understanding the rationale behind this categorization and how it affects our understanding of mathematical concepts.