11003302001100 has 144 divisors (see below), whose sum is σ = 32024994019200. Its totient is φ = 2916826590720.

The previous prime is 11003302001093. The next prime is 11003302001143. The reversal of 11003302001100 is 110020330011.

It is a super-2 number, since 2×11003302001100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 164664496 + ... + 164731304.

It is an arithmetic number, because the mean of its divisors is an integer number (222395791800).

Almost surely, 2^{11003302001100} is an apocalyptic number.

11003302001100 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 11003302001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16012497009600).

11003302001100 is an abundant number, since it is smaller than the sum of its proper divisors (21021692018100).

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

11003302001100 is a wasteful number, since it uses less digits than its factorization.

11003302001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70072 (or 70065 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11003302001100 its reverse (110020330011), we get a palindrome (11113322331111).

The spelling of 11003302001100 in words is "eleven trillion, three billion, three hundred two million, one thousand, one hundred".