Printing a lot of dollar, will only result to it's destruction, the dollar will be weak, since there will be a lot of surplus, if we check out what had happened in Zimbabwe, Greece, Spain, Portugal, what they thought that if they print a lot of money, it will also have the same value, which in turn, it did not, since we are talking about currency, the law of supply and demand still applies here, the more they print their money, the more it looses it's buying power, that why if you look at the dollar, it tends to be the standard, and showing a great buying power , that's why in my country 1 usd is equivalent to 50php, and you can already buy a lot just by using 50 php. However when it comes to real assets, you buy them because their value increases overtime and lucky for us, Bitcoin is limited, and will further increase in value, in time, and will surely be there dominant currency around, and one thing is for sure, the dollar can experience depression, however Bitcoin does not, since it can be exchanged to different Fiat currencies, giving it more leverage over the dollar.
I don't think that the same thing will really apply with USD because USA is a dominant country. I don't know about Greece, Spain, and Portugal but I do know that Zimbabwean dollars were printed out in larger denominations and I'm talking about billions and trillions. Just imagine having one dollar, 5 dollar, 20 dollar, 100 dollars denomination and then all of a sudden the country have made 1 billion dollar denominations. That will surely make the people crazy as well as the economy. I don't think that is what's happening in here at all. Even if US prints dollars nonstop, if it's just a small denomination for each paper, then it will never ever have the same effect as printing large denominations.
Most currencies are subject to inflation so to save yourself, you basically just have to find a good store of value like bitcoin. I'm actually liking the inflation that's going on in my country because I get paid in dollars and that makes me more money in my currency. I'm not affected by the decrease of the purchasing power of our currency compared to people that gets paid in fiat. If everything in your country has their price increasing (e.g. gas, food, transportation, etc.) then your currency is probably having lower and lower purchasing power.
The number of printed dollars does not depend on the amount of gold they have deposited in the world bank,just check the history and then talk about it,there is no backing in precious metal when printing a currency ,in simply terms they could print money as long as they want. 
the good point of bitcoin ... is that you can print paper money if you want : 
