A hundred and eleven is the three-digit repunit, three times thirty-seven, and reduces to three. It is the magic constant of the six-by-six square, the grid in which every row, column and diagonal sums to a hundred and eleven, a square the Renaissance tradition assigned to the Sun. In Jewish gematria a hundred and eleven is the value of the letter aleph spelled out in full, aleph, lamed, pe, so the first letter, when written as a word, contains the number, a fact the Kabbalists took to express the hidden fullness within the simple unity of aleph.
In chemistry, a hundred and eleven is the atomic number of roentgenium, named after Wilhelm Conrad Rontgen, who discovered X-rays in 1895 and won the first Nobel Prize in Physics in 1901; the element itself was first synthesised at GSI in Darmstadt in 1994.
The whole apparatus of digit-reduction numerology is a twentieth-century invention rather than an inheritance from antiquity. Mrs. L. Dow Balliett published the first systematic version, The Philosophy of Numbers, in 1908, fixing the letter-to-number chart still used today and ruling that eleven and twenty-two must stand as master numbers rather than reduce further; her colleague, the physician Julia Seton, is credited with coining the word numerology itself around 1912.