1100120011110 has 96 divisors (see below), whose sum is σ = 3032507237760. Its totient is φ = 275749208064.

The previous prime is 1100120011079. The next prime is 1100120011189. The reversal of 1100120011110 is 111100210011.

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 = 1100120011092 and 1100120011101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 709059 + ... + 1644081.

It is an arithmetic number, because the mean of its divisors is an integer number (31588617060).

Almost surely, 2^{1100120011110} is an apocalyptic number.

1100120011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100120011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516253618880).

1100120011110 is an abundant number, since it is smaller than the sum of its proper divisors (1932387226650).

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

1100120011110 is a wasteful number, since it uses less digits than its factorization.

1100120011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935822 (or 935819 counting only the distinct ones).

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

Adding to 1100120011110 its reverse (111100210011), we get a palindrome (1211220221121).

The spelling of 1100120011110 in words is "one trillion, one hundred billion, one hundred twenty million, eleven thousand, one hundred ten".