10111122112 has 112 divisors (see below), whose sum is σ = 24848303872. Its totient is φ = 3975091200.

The previous prime is 10111122103. The next prime is 10111122139. The reversal of 10111122112 is 21122111101.

It is a happy number.

10111122112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10111122092 and 10111122101.

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 15 ways as a sum of consecutive naturals, for example, 943987 + ... + 954637.

It is an arithmetic number, because the mean of its divisors is an integer number (221859856).

Almost surely, 2^10111122112 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 10111122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12424151936).

10111122112 is an abundant number, since it is smaller than the sum of its proper divisors (14737181760).

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

10111122112 is a wasteful number, since it uses less digits than its factorization.

10111122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10846 (or 10836 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10111122112 its reverse (21122111101), we get a palindrome (31233233213).

The spelling of 10111122112 in words is "ten billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twelve".