2111111000111 has 8 divisors (see below), whose sum is σ = 2258651977200. Its totient is φ = 1967213010240.

The previous prime is 2111111000057. The next prime is 2111111000161. The reversal of 2111111000111 is 1110001111112.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2111111000111 - 2³⁴ = 2093931130927 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2111111000092 and 2111111000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111111000161) 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 in 7 ways as a sum of consecutive naturals, for example, 910745606 + ... + 910747923.

It is an arithmetic number, because the mean of its divisors is an integer number (282331497150).

Almost surely, 2^{2111111000111} is an apocalyptic number.

2111111000111 is a deficient number, since it is larger than the sum of its proper divisors (147540977089).

2111111000111 is a wasteful number, since it uses less digits than its factorization.

2111111000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821493609.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 2111111000111 its reverse (1110001111112), we get a palindrome (3221112111223).

The spelling of 2111111000111 in words is "two trillion, one hundred eleven billion, one hundred eleven million, one hundred eleven", and thus it is an aban number.