During an interview, Page recalled his childhood home "was usually a mess, with computers, science, and technology magazines and Popular Science magazines all over the place", an environment in which he immersed himself. Page was an avid reader during his youth, writing in his 2013 Google founders letter: "I remember spending a huge amount of time pouring [sic] over books and magazines". According to writer Nicholas Carlson, the combined influence of Page's home atmosphere and his attentive parents "fostered creativity and invention". Page also played instruments and studied music composition while growing up. His parents sent him to music summer camp — Interlochen Arts Camp at Interlochen, Michigan, and Page has mentioned that his musical education inspired his impatience and obsession with speed in computing. "In some sense, I feel like music training led to the high-speed legacy of Google for me". In an interview Page said that "In music, you're very cognizant of time. Time is like the primary thing" and that "If you think about it from a music point of view, if you're a percussionist, you hit something, it's got to happen in milliseconds, fractions of a second".
In January 2013, Page participated in a rare interview with Wired, in which writer Steven Levy discussed Page's "10X" mentality—Google employees are expected to create products and services that are at least 10 times better than those of its competitors—in the introductory blurb. Astro Teller, the head of Google X, explained to Levy that 10X is "just core to who he [Page] is", while Page's "focus is on where the next 10X will come from." In his interview with Levy, Page referred to the success of YouTube and Android as examples of "crazy" ideas that investors were not initially interested in, saying: "If you're not doing some things that are crazy, then you're doing the wrong things." Page also stated he was "very happy" with the status of Google+, and discussed concerns over the Internet concerning the SOPA bill and an International Telecommunication Union proposal that had been recently introduced:
In September 2013, Page launched the independent Calico initiative, a R&D project in the field of biotechnology. Google announced that Calico seeks to innovate and make improvements in the field of human health, and appointed Art Levinson, chairman of Apple's board and former CEO of Genentech, to be the new division's CEO. Page's official statement read: "Illness and aging affect all our families. With some longer term, moonshot thinking around healthcare and biotechnology, I believe we can improve millions of lives."
Page announced on his Google+ profile in May 2013 that his right vocal cord is paralyzed from a cold that he contracted the previous summer, while his left cord was paralyzed in 1999. Page explained that he has been suffering from a vocal cord issue for 14 years, and, as of his May 2013 post, doctors were unable to identify the exact cause. The Google+ post also revealed that Page had made a large donation to a vocal-cord nerve-function research program at the Voice Health Institute in Boston. An anonymous source stated that the donation exceeded $20 million.
In October 2013, Business Insider reported that Page's paralyzed vocal cords are caused by an autoimmune disease called Hashimoto's thyroiditis, and prevented him from undertaking Google quarterly earnings conference calls for an indefinite period.