10011100111100 has 144 divisors (see below), whose sum is σ = 24240019789440. Its totient is φ = 3558008236800.

The previous prime is 10011100111069. The next prime is 10011100111123. The reversal of 10011100111100 is 111100111001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10781879 + ... + 11673521.

It is an arithmetic number, because the mean of its divisors is an integer number (168333470760).

Almost surely, 2^{10011100111100} is an apocalyptic number.

10011100111100 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 10011100111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12120009894720).

10011100111100 is an abundant number, since it is smaller than the sum of its proper divisors (14228919678340).

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

10011100111100 is a wasteful number, since it uses less digits than its factorization.

10011100111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891900 (or 891893 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10011100111100 its reverse (111100111001), we get a palindrome (10122200222101).

Subtracting from 10011100111100 its reverse (111100111001), we obtain a palindrome (9900000000099).

The spelling of 10011100111100 in words is "ten trillion, eleven billion, one hundred million, one hundred eleven thousand, one hundred".