212112123302201 has 16 divisors (see below), whose sum is σ = 214176183210000. Its totient is φ = 210050225049600.

The previous prime is 212112123302147. The next prime is 212112123302227. The reversal of 212112123302201 is 102203321211212.

It can be written as a sum of positive squares in 8 ways, for example, as 1807744786576 + 210304378515625 = 1344524^2 + 14501875^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212112123302201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212112123302231) 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, 4593037331 + ... + 4593083511.

It is an arithmetic number, because the mean of its divisors is an integer number (13386011450625).

Almost surely, 2^{212112123302201} is an apocalyptic number.

It is an amenable number.

212112123302201 is a deficient number, since it is larger than the sum of its proper divisors (2064059907799).

212112123302201 is a wasteful number, since it uses less digits than its factorization.

212112123302201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68620.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 212112123302201 its reverse (102203321211212), we get a palindrome (314315444513413).

The spelling of 212112123302201 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twenty-three million, three hundred two thousand, two hundred one".