18111100111181 has 32 divisors (see below), whose sum is σ = 23678678419200. Its totient is φ = 13439249671680.

The previous prime is 18111100111129. The next prime is 18111100111249.

18111100111181 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 18111100111181 - 2¹⁰ = 18111100110157 is a prime.

It is a super-2 number, since 2×18111100111181² (a number of 27 digits) contains 22 as substring.

18111100111181 is a strobogrammatic number because it is the same when read upside-down.

It is a self number, because there is not a number n which added to its sum of digits gives 18111100111181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18111100111121) 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 31 ways as a sum of consecutive naturals, for example, 55389446 + ... + 55715463.

It is an arithmetic number, because the mean of its divisors is an integer number (739958700600).

Almost surely, 2^{18111100111181} is an apocalyptic number.

18111100111181 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18111100111181 is a deficient number, since it is larger than the sum of its proper divisors (5567578308019).

18111100111181 is a wasteful number, since it uses less digits than its factorization.

18111100111181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111105029.

The product of its (nonzero) digits is 64, while the sum is 26.

It can be divided in two parts, 18111100 and 111181, that added together give a palindrome (18222281).

The spelling of 18111100111181 in words is "eighteen trillion, one hundred eleven billion, one hundred million, one hundred eleven thousand, one hundred eighty-one".