11100111001110 has 144 divisors (see below), whose sum is σ = 30618206865792. Its totient is φ = 2787123686400.

The previous prime is 11100111001087. The next prime is 11100111001117. The reversal of 11100111001110 is 1110011100111.

It is a Harshad number since it is a multiple of its sum of digits (9).

11100111001110 is a modest number, since divided by 111001110 gives 1110 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 11100111001092 and 11100111001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100111001117) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2366430 + ... + 5272590.

It is an arithmetic number, because the mean of its divisors is an integer number (212626436568).

Almost surely, 2^{11100111001110} is an apocalyptic number.

11100111001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100111001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15309103432896).

11100111001110 is an abundant number, since it is smaller than the sum of its proper divisors (19518095864682).

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

11100111001110 is a wasteful number, since it uses less digits than its factorization.

11100111001110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906279 (or 2906239 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11100111001110 its reverse (1110011100111), we get a palindrome (12210122101221).

Subtracting from 11100111001110 its reverse (1110011100111), we obtain a palindrome (9990099900999).

The spelling of 11100111001110 in words is "eleven trillion, one hundred billion, one hundred eleven million, one thousand, one hundred ten".