2111111111111 has 2 divisors, whose sum is σ = 2111111111112. Its totient is φ = 2111111111110.

The previous prime is 2111111111063. The next prime is 2111111111233. The reversal of 2111111111111 is 1111111111112.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2111111111111 - 2²⁶ = 2111044002247 is a prime.

2111111111111 is a modest number, since divided by 1111111 gives 211111 as remainder.

It is a nialpdrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2111111116111) 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, 1055555555555 + 1055555555556.

It is an arithmetic number, because the mean of its divisors is an integer number (1055555555556).

Almost surely, 2^{2111111111111} is an apocalyptic number.

2111111111111 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111111111111 is an equidigital number, since it uses as much as digits as its factorization.

2111111111111 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2, while the sum is 14.

Adding to 2111111111111 its reverse (1111111111112), we get a palindrome (3222222222223).

Subtracting from 2111111111111 its reverse (1111111111112), we obtain a palindrome (999999999999).

It can be divided in two parts, 211111111111 and 1, that added together give a palindrome (211111111112).

The spelling of 2111111111111 in words is "two trillion, one hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".