1100111110112 has 96 divisors (see below), whose sum is σ = 2489774837760. Its totient is φ = 468712696320.

The previous prime is 1100111110099. The next prime is 1100111110123. The reversal of 1100111110112 is 2110111110011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1100111110093 and 1100111110102.

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 15 ways as a sum of consecutive naturals, for example, 76447814 + ... + 76462202.

It is an arithmetic number, because the mean of its divisors is an integer number (25935154560).

Almost surely, 2^{1100111110112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100111110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244887418880).

1100111110112 is an abundant number, since it is smaller than the sum of its proper divisors (1389663727648).

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

1100111110112 is a wasteful number, since it uses less digits than its factorization.

1100111110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16384 (or 16376 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 1100111110112 its reverse (2110111110011), we get a palindrome (3210222220123).

The spelling of 1100111110112 in words is "one trillion, one hundred billion, one hundred eleven million, one hundred ten thousand, one hundred twelve".