2010722172017 has 32 divisors (see below), whose sum is σ = 2236783157280. Its totient is φ = 1795969843200.

The previous prime is 2010722171993. The next prime is 2010722172049. The reversal of 2010722172017 is 7102712270102.

It can be written as a sum of positive squares in 16 ways, for example, as 143738798641 + 1866983373376 = 379129^2 + 1366376^2 .

It is not a de Polignac number, because 2010722172017 - 2⁴⁰ = 911210544241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2010722177017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17828159 + ... + 17940587.

It is an arithmetic number, because the mean of its divisors is an integer number (69899473665).

Almost surely, 2^{2010722172017} is an apocalyptic number.

It is an amenable number.

2010722172017 is a deficient number, since it is larger than the sum of its proper divisors (226060985263).

2010722172017 is a wasteful number, since it uses less digits than its factorization.

2010722172017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112853.

The product of its (nonzero) digits is 5488, while the sum is 32.

The spelling of 2010722172017 in words is "two trillion, ten billion, seven hundred twenty-two million, one hundred seventy-two thousand, seventeen".