11100111100100 has 144 divisors (see below), whose sum is σ = 26542468798272. Its totient is φ = 3995640000000.

The previous prime is 11100111100081. The next prime is 11100111100103. The reversal of 11100111100100 is 100111100111.

It is not an unprimeable number, because it can be changed into a prime (11100111100103) by changing a digit.

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, 1099996055 + ... + 1100006145.

It is an arithmetic number, because the mean of its divisors is an integer number (184322699988).

Almost surely, 2^{11100111100100} is an apocalyptic number.

11100111100100 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 11100111100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13271234399136).

11100111100100 is an abundant number, since it is smaller than the sum of its proper divisors (15442357698172).

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

11100111100100 is a wasteful number, since it uses less digits than its factorization.

11100111100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20118 (or 20111 counting only the distinct ones).

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

Adding to 11100111100100 its reverse (100111100111), we get a palindrome (11200222200211).

It can be divided in two parts, 11100111 and 100100, that added together give a palindrome (11200211).

The spelling of 11100111100100 in words is "eleven trillion, one hundred billion, one hundred eleven million, one hundred thousand, one hundred".