11100001001100 has 144 divisors (see below), whose sum is σ = 35037794937600. Its totient is φ = 2690743788800.

The previous prime is 11100001001059. The next prime is 11100001001101. The reversal of 11100001001100 is 110010000111.

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 not an unprimeable number, because it can be changed into a prime (11100001001101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58589326 + ... + 58778474.

It is an arithmetic number, because the mean of its divisors is an integer number (243318020400).

Almost surely, 2^{11100001001100} is an apocalyptic number.

11100001001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100001001100 is an abundant number, since it is smaller than the sum of its proper divisors (23937793936500).

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

11100001001100 is a wasteful number, since it uses less digits than its factorization.

11100001001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206960 (or 206953 counting only the distinct ones).

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

Adding to 11100001001100 its reverse (110010000111), we get a palindrome (11210011001211).

The spelling of 11100001001100 in words is "eleven trillion, one hundred billion, one million, one thousand, one hundred".