100110111101110 has 128 divisors (see below), whose sum is σ = 204242466867840. Its totient is φ = 34995712819200.

The previous prime is 100110111101071. The next prime is 100110111101177. The reversal of 100110111101110 is 11101111011001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 63 ways as a sum of consecutive naturals, for example, 1883122930 + ... + 1883176090.

It is an arithmetic number, because the mean of its divisors is an integer number (1595644272405).

Almost surely, 2^{100110111101110} is an apocalyptic number.

100110111101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100110111101110 is an abundant number, since it is smaller than the sum of its proper divisors (104132355766730).

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

100110111101110 is a wasteful number, since it uses less digits than its factorization.

100110111101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55762.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100110111101110 its reverse (11101111011001), we get a palindrome (111211222112111).

The spelling of 100110111101110 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, one hundred one thousand, one hundred ten".