1101100330000 has 200 divisors, whose sum is σ = 2910503090880. Its totient is φ = 400086720000.

The previous prime is 1101100329991. The next prime is 1101100330007. The reversal of 1101100330000 is 330011011.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×1101100330000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1101100330007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 176766886 + ... + 176773114.

Almost surely, 2^{1101100330000} is an apocalyptic number.

1101100330000 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 1101100330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455251545440).

1101100330000 is an abundant number, since it is smaller than the sum of its proper divisors (1809402760880).

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

1101100330000 is a wasteful number, since it uses less digits than its factorization.

1101100330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7875 (or 7854 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 1101100330000 its reverse (330011011), we get a palindrome (1101430341011).

The spelling of 1101100330000 in words is "one trillion, one hundred one billion, one hundred million, three hundred thirty thousand".