2111120100111 has 16 divisors (see below), whose sum is σ = 3153712583808. Its totient is φ = 1244886544800.

The previous prime is 2111120100073. The next prime is 2111120100137. The reversal of 2111120100111 is 1110010211112.

It is not a de Polignac number, because 2111120100111 - 2¹⁰ = 2111120099087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111120100211) 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 15 ways as a sum of consecutive naturals, for example, 864503325 + ... + 864505766.

It is an arithmetic number, because the mean of its divisors is an integer number (197107036488).

Almost surely, 2^{2111120100111} is an apocalyptic number.

2111120100111 is a deficient number, since it is larger than the sum of its proper divisors (1042592483697).

2111120100111 is a wasteful number, since it uses less digits than its factorization.

2111120100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729009142.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2111120100111 its reverse (1110010211112), we get a palindrome (3221130311223).

The spelling of 2111120100111 in words is "two trillion, one hundred eleven billion, one hundred twenty million, one hundred thousand, one hundred eleven".