We show that the dynamics of Bitcoin (BTC) price are strongly influenced by the level of global geopolitical risk. Indeed, a number of well established stylized facts about BTC cease to be true when we condition the evolution of BTC returns on the GPR index. In particular, we find that when geopolitical risk is high, BTC is no longer a perfect portfolio diversifier as it correlates strongly with Gold, US treasury yields and negatively with EUR/USD. We also find that BTC price bubbles are much more likely to occur when geopolitical risk is high, ie when investors flock to BTC as a digital safe haven or to a lesser extent when geopolitical risk is low and the BTC market behavior is speculative. Conversely, when geopolitical risk is moderate we find that BTC returns are approximately normally distributed and therefore do not seem to foster asset pricing bubbles. These results suggest that investors should adjust their portfolio holdings of BTC while adequately taking into account the amount of geopolitical risk present in the economy. Last, we find that the efficiency (in its weak form) of the BTC market increases with the level of geopolitical risk and that in fact the BTC market is rather efficient for moderate and high GPR.