212211000101 has 2 divisors, whose sum is σ = 212211000102. Its totient is φ = 212211000100.

The previous prime is 212211000077. The next prime is 212211000103. The reversal of 212211000101 is 101000112212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203287363876 + 8923636225 = 450874^2 + 94465^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212211000101 is a prime.

It is a Sophie Germain prime.

Together with 212211000103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212211000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106105500050 + 106105500051.

It is an arithmetic number, because the mean of its divisors is an integer number (106105500051).

Almost surely, 2^212211000101 is an apocalyptic number.

It is an amenable number.

212211000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212211000101 is an equidigital number, since it uses as much as digits as its factorization.

212211000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212211000101 its reverse (101000112212), we get a palindrome (313211112313).

The spelling of 212211000101 in words is "two hundred twelve billion, two hundred eleven million, one hundred one", and thus it is an aban number.