211011121212011 has 2 divisors, whose sum is σ = 211011121212012. Its totient is φ = 211011121212010.

The previous prime is 211011121212007. The next prime is 211011121212043. The reversal of 211011121212011 is 110212121110112.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 211011121212011 - 2² = 211011121212007 is a prime.

It is a super-2 number, since 2×211011121212011² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211011121212071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105505560606005 + 105505560606006.

It is an arithmetic number, because the mean of its divisors is an integer number (105505560606006).

Almost surely, 2^{211011121212011} is an apocalyptic number.

211011121212011 is a deficient number, since it is larger than the sum of its proper divisors (1).

211011121212011 is an equidigital number, since it uses as much as digits as its factorization.

211011121212011 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 17.

Adding to 211011121212011 its reverse (110212121110112), we get a palindrome (321223242322123).

The spelling of 211011121212011 in words is "two hundred eleven trillion, eleven billion, one hundred twenty-one million, two hundred twelve thousand, eleven".