110120121110120 has 128 divisors (see below), whose sum is σ = 274911335424000. Its totient is φ = 39359929524480.

The previous prime is 110120121110089. The next prime is 110120121110137. The reversal of 110120121110120 is 21011121021011.

It is a super-2 number, since 2×110120121110120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110120121110095 and 110120121110104.

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 31 ways as a sum of consecutive naturals, for example, 205309409 + ... + 205845071.

It is an arithmetic number, because the mean of its divisors is an integer number (2147744808000).

Almost surely, 2^{110120121110120} is an apocalyptic number.

110120121110120 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 110120121110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137455667712000).

110120121110120 is an abundant number, since it is smaller than the sum of its proper divisors (164791214313880).

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

110120121110120 is a wasteful number, since it uses less digits than its factorization.

110120121110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543663 (or 543659 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 110120121110120 its reverse (21011121021011), we get a palindrome (131131242131131).

The spelling of 110120121110120 in words is "one hundred ten trillion, one hundred twenty billion, one hundred twenty-one million, one hundred ten thousand, one hundred twenty".