110110012100000 has 432 divisors, whose sum is σ = 298944240953400. Its totient is φ = 39889977600000.

The previous prime is 110110012099993. The next prime is 110110012100021. The reversal of 110110012100000 is 1210011011.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 66817349459344 + 43292662640656 = 8174188^2 + 6579716^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3254883086 + ... + 3254916914.

Almost surely, 2^{110110012100000} is an apocalyptic number.

110110012100000 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 110110012100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149472120476700).

110110012100000 is an abundant number, since it is smaller than the sum of its proper divisors (188834228853400).

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

110110012100000 is an equidigital number, since it uses as much as digits as its factorization.

110110012100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34155 (or 34116 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110110012100000 its reverse (1210011011), we get a palindrome (110111222111011).

The spelling of 110110012100000 in words is "one hundred ten trillion, one hundred ten billion, twelve million, one hundred thousand".