100111101100110 has 96 divisors (see below), whose sum is σ = 271620911278080. Its totient is φ = 25534161664704.

The previous prime is 100111101100063. The next prime is 100111101100111. The reversal of 100111101100110 is 11001101111001.

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 = 100111101100092 and 100111101100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111101100111) 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 47 ways as a sum of consecutive naturals, for example, 36043107 + ... + 38721153.

It is an arithmetic number, because the mean of its divisors is an integer number (2829384492480).

Almost surely, 2^{100111101100110} is an apocalyptic number.

100111101100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111101100110 is an abundant number, since it is smaller than the sum of its proper divisors (171509810177970).

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

100111101100110 is a wasteful number, since it uses less digits than its factorization.

100111101100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696142 (or 2696139 counting only the distinct ones).

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

Adding to 100111101100110 its reverse (11001101111001), we get a palindrome (111112202211111).

The spelling of 100111101100110 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred thousand, one hundred ten".