1100033002112 has 128 divisors (see below), whose sum is σ = 2497556920320. Its totient is φ = 478053964800.

The previous prime is 1100033002109. The next prime is 1100033002127. The reversal of 1100033002112 is 2112003300011.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 3470963 + ... + 3774605.

It is an arithmetic number, because the mean of its divisors is an integer number (19512163440).

Almost surely, 2^{1100033002112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100033002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248778460160).

1100033002112 is an abundant number, since it is smaller than the sum of its proper divisors (1397523918208).

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

1100033002112 is a wasteful number, since it uses less digits than its factorization.

1100033002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303782 (or 303770 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1100033002112 its reverse (2112003300011), we get a palindrome (3212036302123).

The spelling of 1100033002112 in words is "one trillion, one hundred billion, thirty-three million, two thousand, one hundred twelve".