2011121111011 has 2 divisors, whose sum is σ = 2011121111012. Its totient is φ = 2011121111010.

The previous prime is 2011121110997. The next prime is 2011121111033. The reversal of 2011121111011 is 1101111211102.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2011121111011 - 2⁷ = 2011121110883 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011121110982 and 2011121111000.

It is not a weakly prime, because it can be changed into another prime (2011121111711) 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, 1005560555505 + 1005560555506.

It is an arithmetic number, because the mean of its divisors is an integer number (1005560555506).

Almost surely, 2^{2011121111011} is an apocalyptic number.

2011121111011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011121111011 is an equidigital number, since it uses as much as digits as its factorization.

2011121111011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 2011121111011 its reverse (1101111211102), we get a palindrome (3112232322113).

The spelling of 2011121111011 in words is "two trillion, eleven billion, one hundred twenty-one million, one hundred eleven thousand, eleven".