11101110000111 has 36 divisors (see below), whose sum is σ = 16481588432400. Its totient is φ = 7200037427328.

The previous prime is 11101110000103. The next prime is 11101110000151. The reversal of 11101110000111 is 11100001110111.

It is not a de Polignac number, because 11101110000111 - 2³ = 11101110000103 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 11101110000093 and 11101110000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101110000151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151869070 + ... + 151942148.

It is an arithmetic number, because the mean of its divisors is an integer number (457821900900).

Almost surely, 2^{11101110000111} is an apocalyptic number.

11101110000111 is a deficient number, since it is larger than the sum of its proper divisors (5380478432289).

11101110000111 is a wasteful number, since it uses less digits than its factorization.

11101110000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85488 (or 85448 counting only the distinct ones).

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

Adding to 11101110000111 its reverse (11100001110111), we get a palindrome (22201111110222).

Subtracting from 11101110000111 its reverse (11100001110111), we obtain a square (1108890000 = 33300²).

It can be divided in two parts, 11101110000 and 111, that added together give a palindrome (11101110111).

The spelling of 11101110000111 in words is "eleven trillion, one hundred one billion, one hundred ten million, one hundred eleven", and thus it is an aban number.