It's a little hard to know where to start to respond to this.
First, growth in the national debt under Obama has been comparable to that of the last 36 years of Republican presidencies. Obviously, you can't simply compare the raw numbers; depending on the metric you use, Obama is getting crushed by Reagan (who almost tripled the national debt), or is just outcompeting Bush. You can pick metrics in which Obama compares unfavorably to Bush and Reagan, or metrics in which he compares favorably, but from what I can tell, he's pretty much on par with every president for the last 36 years except for Clinton.
Second, Obama isn't responsible for a big chunk of that debt growth: it simply represents a continuation of crisis policy from Bush's administration in response to the collapse of 2008. It also captures Bush's disastrous tax cuts, a policy that Republican-controlled legislatures have ensured Obama was stuck with.
Third, the US GDP is ~17T. Our debt is just barely over 100% of GDP, within 10% of France, Canada, Singapore, and Belgium. As a percentage of GDP, it's not the highest its ever been, and the increase captures our response to the biggest financial catastrophe since the Great Depression.
Fourth, seen through the lens of the GDP, it's clear that there's two bad things that can happen to the debt: our total debt can grow, and our GDP can shrink. Money spent on the recovery is, again, a huge factor in the increased debt. That money was spent in large part to prevent an even more disastrous contraction in the economy. And, indeed, despite a relatively anemic recovery, we're doing a hell of a lot better than Europe did.
Finally, an important mitigating factor with our debt is the unique position we hold in the global financial system. Treasury yields remain at historic lows. The market seems unconcerned with the debt, and remains happy to finance us.
Unsurprisingly, you can't really evaluate the financial picture of the US by comparing two simple dollar numbers.