1100110120000 has 140 divisors (see below), whose sum is σ = 2888382968460. Its totient is φ = 414158848000.

The previous prime is 1100110119961. The next prime is 1100110120033. The reversal of 1100110120000 is 210110011.

It can be written as a sum of positive squares in 10 ways, for example, as 886414718016 + 213695401984 = 941496^2 + 462272^2 .

It is a super-2 number, since 2×1100110120000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 128905 + ... + 1488904.

Almost surely, 2^{1100110120000} is an apocalyptic number.

1100110120000 is a gapful number since it is divisible by the number (10) 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 1100110120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444191484230).

1100110120000 is an abundant number, since it is smaller than the sum of its proper divisors (1788272848460).

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

1100110120000 is an equidigital number, since it uses as much as digits as its factorization.

1100110120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617858 (or 1617833 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1100110120000 its reverse (210110011), we get a palindrome (1100320230011).

The spelling of 1100110120000 in words is "one trillion, one hundred billion, one hundred ten million, one hundred twenty thousand".