2017107222001 has 9 divisors (see below), whose sum is σ = 2020619920153. Its totient is φ = 2013600627220.

The previous prime is 2017107221959. The next prime is 2017107222007. The reversal of 2017107222001 is 1002227017102.

The square root of 2017107222001 is 1420249.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 2017107222001 - 2²¹ = 2017105124849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2017107222007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1293846060 + ... + 1293847618.

Almost surely, 2^{2017107222001} is an apocalyptic number.

2017107222001 is the 1420249-th square number.

2017107222001 is the 710125-th centered octagonal number.

It is an amenable number.

2017107222001 is a deficient number, since it is larger than the sum of its proper divisors (3512698152).

2017107222001 is an frugal number, since it uses more digits than its factorization.

2017107222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

Multiplying 2017107222001 by its sum of digits (25), we get a square (50427680550025 = 7101245²).

The spelling of 2017107222001 in words is "two trillion, seventeen billion, one hundred seven million, two hundred twenty-two thousand, one".