100110111100110 has 96 divisors (see below), whose sum is σ = 263237646709440. Its totient is φ = 26393387328000.

The previous prime is 100110111100079. The next prime is 100110111100169. The reversal of 100110111100110 is 11001111011001.

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 = 100110111100092 and 100110111100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78675855 + ... + 79938165.

It is an arithmetic number, because the mean of its divisors is an integer number (2742058819890).

Almost surely, 2^{100110111100110} is an apocalyptic number.

100110111100110 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 100110111100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131618823354720).

100110111100110 is an abundant number, since it is smaller than the sum of its proper divisors (163127535609330).

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

100110111100110 is a wasteful number, since it uses less digits than its factorization.

100110111100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272314 (or 1272311 counting only the distinct ones).

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

Adding to 100110111100110 its reverse (11001111011001), we get a palindrome (111111222111111).

The spelling of 100110111100110 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, one hundred thousand, one hundred ten".