11100110112 has 288 divisors, whose sum is σ = 39903881472. Its totient is φ = 2848131072.

The previous prime is 11100110083. The next prime is 11100110183. The reversal of 11100110112 is 21101100111.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 11100110094 and 11100110103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 963973 + ... + 975419.

It is an arithmetic number, because the mean of its divisors is an integer number (138555144).

Almost surely, 2^11100110112 is an apocalyptic number.

11100110112 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 11100110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19951940736).

11100110112 is an abundant number, since it is smaller than the sum of its proper divisors (28803771360).

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

11100110112 is a wasteful number, since it uses less digits than its factorization.

11100110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11520 (or 11509 counting only the distinct ones).

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

Adding to 11100110112 its reverse (21101100111), we get a palindrome (32201210223).

The spelling of 11100110112 in words is "eleven billion, one hundred million, one hundred ten thousand, one hundred twelve".