11110100000112 has 240 divisors, whose sum is σ = 32557621580640. Its totient is φ = 3532908607488.

The previous prime is 11110100000099. The next prime is 11110100000171. The reversal of 11110100000112 is 21100000101111.

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 = 11110100000094 and 11110100000103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445871878 + ... + 445896794.

It is an arithmetic number, because the mean of its divisors is an integer number (135656756586).

Almost surely, 2^{11110100000112} is an apocalyptic number.

11110100000112 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 11110100000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16278810790320).

11110100000112 is an abundant number, since it is smaller than the sum of its proper divisors (21447521580528).

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

11110100000112 is a wasteful number, since it uses less digits than its factorization.

11110100000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26600 (or 26591 counting only the distinct ones).

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

Adding to 11110100000112 its reverse (21100000101111), we get a palindrome (32210100101223).

The spelling of 11110100000112 in words is "eleven trillion, one hundred ten billion, one hundred million, one hundred twelve", and thus it is an aban number.