1101101100000 has 288 divisors, whose sum is σ = 3941200996992. Its totient is φ = 266932800000.

The previous prime is 1101101099999. The next prime is 1101101100017. The reversal of 1101101100000 is 11011011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3133167 + ... + 3466833.

It is an arithmetic number, because the mean of its divisors is an integer number (13684725684).

Almost surely, 2^{1101101100000} is an apocalyptic number.

1101101100000 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 1101101100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970600498496).

1101101100000 is an abundant number, since it is smaller than the sum of its proper divisors (2840099896992).

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

1101101100000 is an equidigital number, since it uses as much as digits as its factorization.

1101101100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333716 (or 333688 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1101101100000 its reverse (11011011), we get a palindrome (1101112111011).

1101101100000 divided by its reverse (11011011) gives a 5-th power (100000 = 10⁵).

It can be divided in two parts, 1101 and 101100000, that added together give a palindrome (101101101).

The spelling of 1101101100000 in words is "one trillion, one hundred one billion, one hundred one million, one hundred thousand".