2111111100111 has 32 divisors (see below), whose sum is σ = 3053258546688. Its totient is φ = 1289770439040.

The previous prime is 2111111100061. The next prime is 2111111100167. The reversal of 2111111100111 is 1110011111112.

It is not a de Polignac number, because 2111111100111 - 2¹⁹ = 2111110575823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111111100191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5082205 + ... + 5481881.

It is an arithmetic number, because the mean of its divisors is an integer number (95414329584).

Almost surely, 2^{2111111100111} is an apocalyptic number.

2111111100111 is a deficient number, since it is larger than the sum of its proper divisors (942147446577).

2111111100111 is a wasteful number, since it uses less digits than its factorization.

2111111100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400671.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 2111111100111 its reverse (1110011111112), we get a palindrome (3221122211223).

The spelling of 2111111100111 in words is "two trillion, one hundred eleven billion, one hundred eleven million, one hundred thousand, one hundred eleven".