100111111000138 has 72 divisors (see below), whose sum is σ = 182641747004640. Its totient is φ = 41031939841200.

The previous prime is 100111111000133. The next prime is 100111111000139. The reversal of 100111111000138 is 831000111111001.

It is not an unprimeable number, because it can be changed into a prime (100111111000133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 292165813 + ... + 292508263.

It is an arithmetic number, because the mean of its divisors is an integer number (2536690930620).

Almost surely, 2^{100111111000138} is an apocalyptic number.

100111111000138 is a deficient number, since it is larger than the sum of its proper divisors (82530636004502).

100111111000138 is a wasteful number, since it uses less digits than its factorization.

100111111000138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348152 (or 348122 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 19.

Adding to 100111111000138 its reverse (831000111111001), we get a palindrome (931111222111139).

The spelling of 100111111000138 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, one hundred thirty-eight", and thus it is an aban number.