11001101112 has 96 divisors (see below), whose sum is σ = 31118330880. Its totient is φ = 3504409920.

The previous prime is 11001101071. The next prime is 11001101131. The reversal of 11001101112 is 21110110011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11001101094 and 11001101103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2393937 + ... + 2398527.

It is an arithmetic number, because the mean of its divisors is an integer number (324149280).

Almost surely, 2^11001101112 is an apocalyptic number.

11001101112 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 11001101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15559165440).

11001101112 is an abundant number, since it is smaller than the sum of its proper divisors (20117229768).

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

11001101112 is a wasteful number, since it uses less digits than its factorization.

11001101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6073 (or 6066 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11001101112 its reverse (21110110011), we get a palindrome (32111211123).

The spelling of 11001101112 in words is "eleven billion, one million, one hundred one thousand, one hundred twelve".