110011000001112 has 192 divisors, whose sum is σ = 350117858376000. Its totient is φ = 30555738749952.

The previous prime is 110011000001011. The next prime is 110011000001113. The reversal of 110011000001112 is 211100000110011.

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 = 110011000001094 and 110011000001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110011000001113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15980187 + ... + 21803402.

It is an arithmetic number, because the mean of its divisors is an integer number (1823530512375).

Almost surely, 2^{110011000001112} is an apocalyptic number.

110011000001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110011000001112 is an abundant number, since it is smaller than the sum of its proper divisors (240106858374888).

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

110011000001112 is a wasteful number, since it uses less digits than its factorization.

110011000001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37783770 (or 37783763 counting only the distinct ones).

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

Adding to 110011000001112 its reverse (211100000110011), we get a palindrome (321111000111123).

The spelling of 110011000001112 in words is "one hundred ten trillion, eleven billion, one thousand, one hundred twelve".