200001314102201 has 16 divisors (see below), whose sum is σ = 205112373128208. Its totient is φ = 194901407078400.

The previous prime is 200001314102137. The next prime is 200001314102209. The reversal of 200001314102201 is 102201413100002.

It can be written as a sum of positive squares in 8 ways, for example, as 108573294862201 + 91428019240000 = 10419851^2 + 9561800^2 .

It is a cyclic number.

It is not a de Polignac number, because 200001314102201 - 2⁶ = 200001314102137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 200001314102201.

It is not an unprimeable number, because it can be changed into a prime (200001314102209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279450431 + ... + 280165211.

It is an arithmetic number, because the mean of its divisors is an integer number (12819523320513).

Almost surely, 2^{200001314102201} is an apocalyptic number.

It is an amenable number.

200001314102201 is a deficient number, since it is larger than the sum of its proper divisors (5111059026007).

200001314102201 is a wasteful number, since it uses less digits than its factorization.

200001314102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722572.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 200001314102201 its reverse (102201413100002), we get a palindrome (302202727202203).

The spelling of 200001314102201 in words is "two hundred trillion, one billion, three hundred fourteen million, one hundred two thousand, two hundred one".