212201212201001 has 2 divisors, whose sum is σ = 212201212201002. Its totient is φ = 212201212201000.

The previous prime is 212201212200937. The next prime is 212201212201003. The reversal of 212201212201001 is 100102212102212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155013057779776 + 57188154421225 = 12450424^2 + 7562285^2 .

It is a cyclic number.

It is not a de Polignac number, because 212201212201001 - 2⁶ = 212201212200937 is a prime.

Together with 212201212201003, 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 (212201212201003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106100606100500 + 106100606100501.

It is an arithmetic number, because the mean of its divisors is an integer number (106100606100501).

Almost surely, 2^{212201212201001} is an apocalyptic number.

It is an amenable number.

212201212201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212201212201001 is an equidigital number, since it uses as much as digits as its factorization.

212201212201001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212201212201001 its reverse (100102212102212), we get a palindrome (312303424303213).

The spelling of 212201212201001 in words is "two hundred twelve trillion, two hundred one billion, two hundred twelve million, two hundred one thousand, one".