110110112100100 has 216 divisors, whose sum is σ = 292608374573760. Its totient is φ = 35761412494080.

The previous prime is 110110112100083. The next prime is 110110112100103. The reversal of 110110112100100 is 1001211011011.

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

It is not an unprimeable number, because it can be changed into a prime (110110112100103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 992669842 + ... + 992780758.

Almost surely, 2^{110110112100100} is an apocalyptic number.

110110112100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110110112100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146304187286880).

110110112100100 is an abundant number, since it is smaller than the sum of its proper divisors (182498262473660).

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

110110112100100 is a wasteful number, since it uses less digits than its factorization.

110110112100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121627 (or 121613 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 110110112100100 its reverse (1001211011011), we get a palindrome (111111323111111).

The spelling of 110110112100100 in words is "one hundred ten trillion, one hundred ten billion, one hundred twelve million, one hundred thousand, one hundred".