110110120100 has 18 divisors (see below), whose sum is σ = 238938960834. Its totient is φ = 44044048000.

The previous prime is 110110120091. The next prime is 110110120103. The reversal of 110110120100 is 1021011011.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 19369402276 + 90740717824 = 139174^2 + 301232^2 .

It is not an unprimeable number, because it can be changed into a prime (110110120103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 550550501 + ... + 550550700.

It is an arithmetic number, because the mean of its divisors is an integer number (13274386713).

Almost surely, 2^110110120100 is an apocalyptic number.

110110120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110110120100 is an abundant number, since it is smaller than the sum of its proper divisors (128828840734).

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

110110120100 is a wasteful number, since it uses less digits than its factorization.

110110120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101101215 (or 1101101208 counting only the distinct ones).

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

Adding to 110110120100 its reverse (1021011011), we get a palindrome (111131131111).

The spelling of 110110120100 in words is "one hundred ten billion, one hundred ten million, one hundred twenty thousand, one hundred".