1102000333000 has 256 divisors, whose sum is σ = 3127096627200. Its totient is φ = 354842726400.

The previous prime is 1102000332991. The next prime is 1102000333039. The reversal of 1102000333000 is 3330002011.

It is a super-2 number, since 2×1102000333000² (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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56991334 + ... + 57010666.

It is an arithmetic number, because the mean of its divisors is an integer number (12215221200).

Almost surely, 2^{1102000333000} is an apocalyptic number.

1102000333000 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 1102000333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563548313600).

1102000333000 is an abundant number, since it is smaller than the sum of its proper divisors (2025096294200).

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

1102000333000 is a wasteful number, since it uses less digits than its factorization.

1102000333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19857 (or 19843 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 1102000333000 its reverse (3330002011), we get a palindrome (1105330335011).

The spelling of 1102000333000 in words is "one trillion, one hundred two billion, three hundred thirty-three thousand".