100111001100111 has 48 divisors (see below), whose sum is σ = 145764005587200. Its totient is φ = 66208243178880.

The previous prime is 100111001100079. The next prime is 100111001100221. The reversal of 100111001100111 is 111001100111001.

It is not a de Polignac number, because 100111001100111 - 2⁵ = 100111001100079 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 = 100111001100093 and 100111001100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111001104111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 671365240 + ... + 671514338.

It is an arithmetic number, because the mean of its divisors is an integer number (3036750116400).

Almost surely, 2^{100111001100111} is an apocalyptic number.

100111001100111 is a deficient number, since it is larger than the sum of its proper divisors (45653004487089).

100111001100111 is a wasteful number, since it uses less digits than its factorization.

100111001100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150556 (or 150553 counting only the distinct ones).

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

Adding to 100111001100111 its reverse (111001100111001), we get a palindrome (211112101211112).

The spelling of 100111001100111 in words is "one hundred trillion, one hundred eleven billion, one million, one hundred thousand, one hundred eleven".