2111111112 has 64 divisors (see below), whose sum is σ = 5801621760. Its totient is φ = 634836800.

The previous prime is 2111111099. The next prime is 2111111137.

2111111112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4063 + ... + 65105.

It is an arithmetic number, because the mean of its divisors is an integer number (90650340).

Almost surely, 2^2111111112 is an apocalyptic number.

2111111112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900810880).

2111111112 is an abundant number, since it is smaller than the sum of its proper divisors (3690510648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2111111112 is a wasteful number, since it uses less digits than its factorization.

2111111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61194 (or 61190 counting only the distinct ones).

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

The square root of 2111111112 is about 45946.8291833071. The cubic root of 2111111112 is about 1282.8337106056.

It can be divided in two parts, 21111 and 11112, that multiplied together give a palindrome (234585432).

The spelling of 2111111112 in words is "two billion, one hundred eleven million, one hundred eleven thousand, one hundred twelve".