212012002000201 has 16 divisors (see below), whose sum is σ = 229135960399248. Its totient is φ = 195004538265600.

The previous prime is 212012002000133. The next prime is 212012002000237. The reversal of 212012002000201 is 102000200210212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 47544817325625 + 164467184674576 = 6895275^2 + 12824476^2 .

It is a cyclic number.

It is not a de Polignac number, because 212012002000201 - 2⁹ = 212012001999689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212012002000261) 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, 342199435 + ... + 342818431.

It is an arithmetic number, because the mean of its divisors is an integer number (14320997524953).

Almost surely, 2^{212012002000201} is an apocalyptic number.

It is an amenable number.

212012002000201 is a deficient number, since it is larger than the sum of its proper divisors (17123958399047).

212012002000201 is a wasteful number, since it uses less digits than its factorization.

212012002000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713052.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212012002000201 its reverse (102000200210212), we get a palindrome (314012202210413).

The spelling of 212012002000201 in words is "two hundred twelve trillion, twelve billion, two million, two hundred one", and thus it is an aban number.