211122303011 has 2 divisors, whose sum is σ = 211122303012. Its totient is φ = 211122303010.

The previous prime is 211122302947. The next prime is 211122303013. The reversal of 211122303011 is 110303221112.

211122303011 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 211122303011 - 2⁶ = 211122302947 is a prime.

It is a super-2 number, since 2×211122303011² (a number of 23 digits) contains 22 as substring.

Together with 211122303013, 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 (211122303013) 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, 105561151505 + 105561151506.

It is an arithmetic number, because the mean of its divisors is an integer number (105561151506).

Almost surely, 2^211122303011 is an apocalyptic number.

211122303011 is a deficient number, since it is larger than the sum of its proper divisors (1).

211122303011 is an equidigital number, since it uses as much as digits as its factorization.

211122303011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 211122303011 its reverse (110303221112), we get a palindrome (321425524123).

The spelling of 211122303011 in words is "two hundred eleven billion, one hundred twenty-two million, three hundred three thousand, eleven".