2211111101112 has 64 divisors (see below), whose sum is σ = 5706359500800. Its totient is φ = 713228353920.

The previous prime is 2211111101083. The next prime is 2211111101117. The reversal of 2211111101112 is 2111011111122.

It is a junction number, because it is equal to n+sod(n) for n = 2211111101091 and 2211111101100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211111101117) 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, 19644258 + ... + 19756494.

It is an arithmetic number, because the mean of its divisors is an integer number (89161867200).

Almost surely, 2^{2211111101112} is an apocalyptic number.

It is an amenable number.

2211111101112 is an abundant number, since it is smaller than the sum of its proper divisors (3495248399688).

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

2211111101112 is a wasteful number, since it uses less digits than its factorization.

2211111101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138756 (or 138752 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 2211111101112 its reverse (2111011111122), we get a palindrome (4322122212234).

The spelling of 2211111101112 in words is "two trillion, two hundred eleven billion, one hundred eleven million, one hundred one thousand, one hundred twelve".