100111011100110 has 96 divisors (see below), whose sum is σ = 268673944036320. Its totient is φ = 26526227929344.

The previous prime is 100111011100109. The next prime is 100111011100171. The reversal of 100111011100110 is 11001110111001.

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 = 100111011100092 and 100111011100101.

It is a congruent number.

It is an unprimeable number.

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, 865999 + ... + 14176458.

It is an arithmetic number, because the mean of its divisors is an integer number (2798686917045).

Almost surely, 2^{100111011100110} is an apocalyptic number.

100111011100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111011100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134336972018160).

100111011100110 is an abundant number, since it is smaller than the sum of its proper divisors (168562932936210).

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

100111011100110 is a wasteful number, since it uses less digits than its factorization.

100111011100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15042787 (or 15042624 counting only the distinct ones).

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

Adding to 100111011100110 its reverse (11001110111001), we get a palindrome (111112121211111).

The spelling of 100111011100110 in words is "one hundred trillion, one hundred eleven billion, eleven million, one hundred thousand, one hundred ten".