213212200121201 has 2 divisors, whose sum is σ = 213212200121202. Its totient is φ = 213212200121200.

The previous prime is 213212200121177. The next prime is 213212200121203. The reversal of 213212200121201 is 102121002212312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195340875073600 + 17871325047601 = 13976440^2 + 4227449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213212200121201 is a prime.

Together with 213212200121203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (213212200121203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106606100060600 + 106606100060601.

It is an arithmetic number, because the mean of its divisors is an integer number (106606100060601).

Almost surely, 2^{213212200121201} is an apocalyptic number.

It is an amenable number.

213212200121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

213212200121201 is an equidigital number, since it uses as much as digits as its factorization.

213212200121201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 213212200121201 its reverse (102121002212312), we get a palindrome (315333202333513).

The spelling of 213212200121201 in words is "two hundred thirteen trillion, two hundred twelve billion, two hundred million, one hundred twenty-one thousand, two hundred one".