110120120201120 has 48 divisors (see below), whose sum is σ = 260794869176520. Its totient is φ = 43940351115264.

The previous prime is 110120120201071. The next prime is 110120120201141. The reversal of 110120120201120 is 21102021021011.

It can be written as a sum of positive squares in 4 ways, for example, as 95397336328336 + 14722783872784 = 9767156^2 + 3837028^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110120120201095 and 110120120201104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 841316897 + ... + 841447776.

Almost surely, 2^{110120120201120} is an apocalyptic number.

110120120201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110120120201120 is an abundant number, since it is smaller than the sum of its proper divisors (150674748975400).

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

110120120201120 is a wasteful number, since it uses less digits than its factorization.

110120120201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682765097 (or 1682765089 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110120120201120 its reverse (21102021021011), we get a palindrome (131222141222131).

The spelling of 110120120201120 in words is "one hundred ten trillion, one hundred twenty billion, one hundred twenty million, two hundred one thousand, one hundred twenty".