Fans have depicted her alongside Byakuren Hijiri for obvious reasons.
Japanese fans call her "Taishi" (太子: The first name of Prince Shoutoku) more often then her official name. This is because of the popularity of Prince Shoutoku in Japan (Alongside with the influence of Gag Manga Biyori, A famous comedy manga that is known to have unique parodied characteristics of Prince Shoutoku ), calling her the first name "Miko" sounding a bit odd because it shares the same pronunciation as shrine maiden and using her last name "Toyosatomimi" is complex to write or speak casually.
Sharing the same parodied source as the Prince Shoutoku in Gag Manga Biyori, some fan imports certain characteristics to use on her in fan works. Such as, wearing a stupid looking blue sports suit, smelling like curry, practices in no-underwearism, being treated seriously impolite by her subordinate and uses a special move screaming "ASUKA CULTURE ATTACK! KNOW THE DIGNITY OF TAOISM CULTURE!!". (an example work in niconico douga)
Some people calls her a coward because she was afraid to die in the process of being a Shijie xian and needed Futo to risk her life first to test the process. Others say she's a realist and reasonable for the very same reason.
Some fan had found out that she resembles an owl because of her strange hair cut.
Some fans depict her as a car named Toyotasatomimi (her head being attached to one), due to the similarity of her last name to the brand Toyota. There is even a fan page. She often spouts the phrases "BEEP BEEP" or "VAROOOM" She is depicted as the arch nemesis of Miko herself, and is sometimes paired with Mamizou Futatsuiwa's vehicle form Mamizoom, or Alice Margatroid's vehicle form Alice Margatrain.
Due to her exaggerated hand poses and sparkling in Hopeless Masquerade, and the fact she gave a mask of her own face to Kokoro, many fans have depicted her with a narcissistic personality.
Due to the fact that Kokoro was born from 66 masks given by Shotoku, some fans describe Miko as the "Father" of Kokoro along with Byakuren Hijiri acting as the Mother