2111112102 has 64 divisors (see below), whose sum is σ = 4710850560. Its totient is φ = 625341600.

The previous prime is 2111112089. The next prime is 2111112119. The reversal of 2111112102 is 2012111112.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 535077 + ... + 539007.

It is an arithmetic number, because the mean of its divisors is an integer number (73607040).

Almost surely, 2^2111112102 is an apocalyptic number.

2111112102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355425280).

2111112102 is an abundant number, since it is smaller than the sum of its proper divisors (2599738458).

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

2111112102 is a wasteful number, since it uses less digits than its factorization.

2111112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129.

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 2111112102 is about 45946.8399566281. The cubic root of 2111112102 is about 1282.8339111328.

Adding to 2111112102 its reverse (2012111112), we get a palindrome (4123223214).

The spelling of 2111112102 in words is "two billion, one hundred eleven million, one hundred twelve thousand, one hundred two".