100110000100110 has 1024 divisors, whose sum is σ = 351686806732800. Its totient is φ = 17553144268800.

The previous prime is 100110000100081. The next prime is 100110000100127. The reversal of 100110000100110 is 11001000011001.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1903965801 + ... + 1904018379.

It is an arithmetic number, because the mean of its divisors is an integer number (343444147200).

Almost surely, 2^{100110000100110} is an apocalyptic number.

100110000100110 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 100110000100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175843403366400).

100110000100110 is an abundant number, since it is smaller than the sum of its proper divisors (251576806632690).

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

100110000100110 is a wasteful number, since it uses less digits than its factorization.

100110000100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52757.

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

Adding to 100110000100110 its reverse (11001000011001), we get a palindrome (111111000111111).

The spelling of 100110000100110 in words is "one hundred trillion, one hundred ten billion, one hundred thousand, one hundred ten".