212121201101 has 2 divisors, whose sum is σ = 212121201102. Its totient is φ = 212121201100.

The previous prime is 212121201077. The next prime is 212121201113. The reversal of 212121201101 is 101102121212.

212121201101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211531925476 + 589275625 = 459926^2 + 24275^2 .

It is a cyclic number.

It is not a de Polignac number, because 212121201101 - 2⁶ = 212121201037 is a prime.

It is a super-2 number, since 2×212121201101² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain 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 (212121201161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060600550 + 106060600551.

It is an arithmetic number, because the mean of its divisors is an integer number (106060600551).

Almost surely, 2^212121201101 is an apocalyptic number.

It is an amenable number.

212121201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121201101 is an equidigital number, since it uses as much as digits as its factorization.

212121201101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212121201101 its reverse (101102121212), we get a palindrome (313223322313).

The spelling of 212121201101 in words is "two hundred twelve billion, one hundred twenty-one million, two hundred one thousand, one hundred one".