10217200205 has 16 divisors (see below), whose sum is σ = 12571406064. Its totient is φ = 7966955520.

The previous prime is 10217200187. The next prime is 10217200237. The reversal of 10217200205 is 50200271201.

10217200205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 121572676 + 10095627529 = 11026^2 + 100477^2 .

It is not a de Polignac number, because 10217200205 - 2¹² = 10217196109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202169 + ... + 247601.

It is an arithmetic number, because the mean of its divisors is an integer number (785712879).

Almost surely, 2^10217200205 is an apocalyptic number.

It is an amenable number.

10217200205 is a deficient number, since it is larger than the sum of its proper divisors (2354205859).

10217200205 is a wasteful number, since it uses less digits than its factorization.

10217200205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46576.

The product of its (nonzero) digits is 280, while the sum is 20.

Adding to 10217200205 its reverse (50200271201), we get a palindrome (60417471406).

The spelling of 10217200205 in words is "ten billion, two hundred seventeen million, two hundred thousand, two hundred five".