100000110100110 has 128 divisors (see below), whose sum is σ = 264963634237440. Its totient is φ = 24152327703680.

The previous prime is 100000110100109. The next prime is 100000110100127. The reversal of 100000110100110 is 11001011000001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6086179 + ... + 15396161.

It is an arithmetic number, because the mean of its divisors is an integer number (2070028392480).

Almost surely, 2^{100000110100110} is an apocalyptic number.

100000110100110 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 100000110100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132481817118720).

100000110100110 is an abundant number, since it is smaller than the sum of its proper divisors (164963524137330).

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

100000110100110 is a wasteful number, since it uses less digits than its factorization.

100000110100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9310295 (or 9310273 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100000110100110 its reverse (11001011000001), we get a palindrome (111001121100111).

It can be divided in two parts, 1000001 and 10100110, that added together give a palindrome (11100111).

The spelling of 100000110100110 in words is "one hundred trillion, one hundred ten million, one hundred thousand, one hundred ten".