110101101100120 has 128 divisors (see below), whose sum is σ = 273335630500800. Its totient is φ = 39662855092224.

The previous prime is 110101101100099. The next prime is 110101101100153. The reversal of 110101101100120 is 21001101101011.

110101101100120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 110101101100097 and 110101101100106.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6225867 + ... + 16092346.

Almost surely, 2^{110101101100120} is an apocalyptic number.

110101101100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110101101100120 is an abundant number, since it is smaller than the sum of its proper divisors (163234529400680).

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

110101101100120 is a wasteful number, since it uses less digits than its factorization.

110101101100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22318469 (or 22318465 counting only the distinct ones).

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

Adding to 110101101100120 its reverse (21001101101011), we get a palindrome (131102202201131).

The spelling of 110101101100120 in words is "one hundred ten trillion, one hundred one billion, one hundred one million, one hundred thousand, one hundred twenty".