100110011110110 has 192 divisors, whose sum is σ = 264092357745216. Its totient is φ = 26307291955200.

The previous prime is 100110011110049. The next prime is 100110011110121. The reversal of 100110011110110 is 11011110011001.

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 = 100110011110092 and 100110011110101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16092266800 + ... + 16092273020.

It is an arithmetic number, because the mean of its divisors is an integer number (1375481029923).

Almost surely, 2^{100110011110110} is an apocalyptic number.

100110011110110 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 100110011110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132046178872608).

100110011110110 is an abundant number, since it is smaller than the sum of its proper divisors (163982346635106).

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

100110011110110 is a wasteful number, since it uses less digits than its factorization.

100110011110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11451 (or 11448 counting only the distinct ones).

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

Adding to 100110011110110 its reverse (11011110011001), we get a palindrome (111121121121111).

It can be divided in two parts, 100110011 and 110110, that added together give a square (100220121 = 10011²).

The spelling of 100110011110110 in words is "one hundred trillion, one hundred ten billion, eleven million, one hundred ten thousand, one hundred ten".