2122011110112 has 192 divisors, whose sum is σ = 5851103892480. Its totient is φ = 672789970944.

The previous prime is 2122011110101. The next prime is 2122011110113. The reversal of 2122011110112 is 2110111102212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2122011110091 and 2122011110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122011110113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23761608 + ... + 23850744.

It is an arithmetic number, because the mean of its divisors is an integer number (30474499440).

Almost surely, 2^{2122011110112} 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 2122011110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925551946240).

2122011110112 is an abundant number, since it is smaller than the sum of its proper divisors (3729092782368).

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

2122011110112 is a wasteful number, since it uses less digits than its factorization.

2122011110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89345 (or 89337 counting only the distinct ones).

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

Adding to 2122011110112 its reverse (2110111102212), we get a palindrome (4232122212324).

The spelling of 2122011110112 in words is "two trillion, one hundred twenty-two billion, eleven million, one hundred ten thousand, one hundred twelve".