11001011112 has 320 divisors, whose sum is σ = 38156469120. Its totient is φ = 2883589632.

The previous prime is 11001011101. The next prime is 11001011171. The reversal of 11001011112 is 21111010011.

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 = 11001011094 and 11001011103.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11616223 + ... + 11617169.

It is an arithmetic number, because the mean of its divisors is an integer number (119238966).

Almost surely, 2^11001011112 is an apocalyptic number.

11001011112 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 11001011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19078234560).

11001011112 is an abundant number, since it is smaller than the sum of its proper divisors (27155458008).

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

11001011112 is a wasteful number, since it uses less digits than its factorization.

11001011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1169 counting only the distinct ones).

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

Adding to 11001011112 its reverse (21111010011), we get a palindrome (32112021123).

The spelling of 11001011112 in words is "eleven billion, one million, eleven thousand, one hundred twelve".