2210111120112 has 320 divisors, whose sum is σ = 6887764869120. Its totient is φ = 597544915968.

The previous prime is 2210111120071. The next prime is 2210111120153. The reversal of 2210111120112 is 2110211110122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2210111120071) and next prime (2210111120153).

It is a junction number, because it is equal to n+sod(n) for n = 2210111120091 and 2210111120100.

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 63 ways as a sum of consecutive naturals, for example, 65785783 + ... + 65819369.

It is an arithmetic number, because the mean of its divisors is an integer number (21524265216).

Almost surely, 2^{2210111120112} 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 2210111120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443882434560).

2210111120112 is an abundant number, since it is smaller than the sum of its proper divisors (4677653749008).

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

2210111120112 is a wasteful number, since it uses less digits than its factorization.

2210111120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33788 (or 33782 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2210111120112 its reverse (2110211110122), we get a palindrome (4320322230234).

The spelling of 2210111120112 in words is "two trillion, two hundred ten billion, one hundred eleven million, one hundred twenty thousand, one hundred twelve".