2102211111112 has 128 divisors (see below), whose sum is σ = 4570459084800. Its totient is φ = 887892498432.

The previous prime is 2102211111103. The next prime is 2102211111151. The reversal of 2102211111112 is 2111111122012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2063013339 + ... + 2063014357.

It is an arithmetic number, because the mean of its divisors is an integer number (35706711600).

Almost surely, 2^{2102211111112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102211111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285229542400).

2102211111112 is an abundant number, since it is smaller than the sum of its proper divisors (2468247973688).

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

2102211111112 is a wasteful number, since it uses less digits than its factorization.

2102211111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 2102211111112 its reverse (2111111122012), we get a palindrome (4213322233124).

The spelling of 2102211111112 in words is "two trillion, one hundred two billion, two hundred eleven million, one hundred eleven thousand, one hundred twelve".