11011112021112 has 256 divisors, whose sum is σ = 33099053137920. Its totient is φ = 2986836249600.

The previous prime is 11011112021099. The next prime is 11011112021197. The reversal of 11011112021112 is 21112021111011.

11011112021112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11011112021091 and 11011112021100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80197273 + ... + 80334455.

It is an arithmetic number, because the mean of its divisors is an integer number (129293176320).

Almost surely, 2^{11011112021112} is an apocalyptic number.

11011112021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011112021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16549526568960).

11011112021112 is an abundant number, since it is smaller than the sum of its proper divisors (22087941116808).

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

11011112021112 is a wasteful number, since it uses less digits than its factorization.

11011112021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137554 (or 137550 counting only the distinct ones).

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

Adding to 11011112021112 its reverse (21112021111011), we get a palindrome (32123133132123).

The spelling of 11011112021112 in words is "eleven trillion, eleven billion, one hundred twelve million, twenty-one thousand, one hundred twelve".