2011120110111 has 8 divisors (see below), whose sum is σ = 3064563977344. Its totient is φ = 1149211491480.

The previous prime is 2011120109989. The next prime is 2011120110137. The reversal of 2011120110111 is 1110110211102.

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

It is not a de Polignac number, because 2011120110111 - 2¹⁰ = 2011120109087 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011120110151) 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 7 ways as a sum of consecutive naturals, for example, 47883812125 + ... + 47883812166.

It is an arithmetic number, because the mean of its divisors is an integer number (383070497168).

Almost surely, 2^{2011120110111} is an apocalyptic number.

2011120110111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2011120110111 is a deficient number, since it is larger than the sum of its proper divisors (1053443867233).

2011120110111 is an equidigital number, since it uses as much as digits as its factorization.

2011120110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95767624301.

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

Adding to 2011120110111 its reverse (1110110211102), we get a palindrome (3121230321213).

The spelling of 2011120110111 in words is "two trillion, eleven billion, one hundred twenty million, one hundred ten thousand, one hundred eleven".