212121010511 has 2 divisors, whose sum is σ = 212121010512. Its totient is φ = 212121010510.

The previous prime is 212121010489. The next prime is 212121010529. The reversal of 212121010511 is 115010121212.

212121010511 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 is a cyclic number.

It is not a de Polignac number, because 212121010511 - 2⁶ = 212121010447 is a prime.

It is a super-3 number, since 3×212121010511³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 212121010511.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212121010571) 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, 106060505255 + 106060505256.

It is an arithmetic number, because the mean of its divisors is an integer number (106060505256).

Almost surely, 2^212121010511 is an apocalyptic number.

212121010511 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121010511 is an equidigital number, since it uses as much as digits as its factorization.

212121010511 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40, while the sum is 17.

Adding to 212121010511 its reverse (115010121212), we get a palindrome (327131131723).

The spelling of 212121010511 in words is "two hundred twelve billion, one hundred twenty-one million, ten thousand, five hundred eleven".