First and foremost, marker on wire can be removed with rubbing alcohol.
When you get it on your hands, use alcohol-based products (rubbing alcohol, nail polish remover, hand sanitizer) or scrub skin with olive oil, baking soda or salt.
Hands - Alcohol-Based products (rubbing alcohol, nail polish remover, hand sanitizer) or Scrub Skin with Olive Oil, Baking Soda or Salt.
Clothes - Use Hand Sanitizer