2111122211011 has 16 divisors (see below), whose sum is σ = 2324438899200. Its totient is φ = 1901375661600.

The previous prime is 2111122210969. The next prime is 2111122211071. The reversal of 2111122211011 is 1101122211112.

It is a cyclic number.

It is not a de Polignac number, because 2111122211011 - 2¹⁷ = 2111122079939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2111122211071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10803270 + ... + 10996948.

It is an arithmetic number, because the mean of its divisors is an integer number (145277431200).

Almost surely, 2^{2111122211011} is an apocalyptic number.

2111122211011 is a deficient number, since it is larger than the sum of its proper divisors (213316688189).

2111122211011 is a wasteful number, since it uses less digits than its factorization.

2111122211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202890.

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

Adding to 2111122211011 its reverse (1101122211112), we get a palindrome (3212244422123).

The spelling of 2111122211011 in words is "two trillion, one hundred eleven billion, one hundred twenty-two million, two hundred eleven thousand, eleven".