110001112022120 has 256 divisors, whose sum is σ = 304662187008000. Its totient is φ = 35244408770560.

The previous prime is 110001112022063. The next prime is 110001112022161. The reversal of 110001112022120 is 21220211100011.

It is a super-2 number, since 2×110001112022120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110001112022095 and 110001112022104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1283831 + ... + 14887929.

It is an arithmetic number, because the mean of its divisors is an integer number (1190086668000).

Almost surely, 2^{110001112022120} is an apocalyptic number.

110001112022120 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 110001112022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152331093504000).

110001112022120 is an abundant number, since it is smaller than the sum of its proper divisors (194661074985880).

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

110001112022120 is a wasteful number, since it uses less digits than its factorization.

110001112022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13604208 (or 13604204 counting only the distinct ones).

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

Adding to 110001112022120 its reverse (21220211100011), we get a palindrome (131221323122131).

It can be divided in two parts, 1100011 and 12022120, that added together give a palindrome (13122131).

The spelling of 110001112022120 in words is "one hundred ten trillion, one billion, one hundred twelve million, twenty-two thousand, one hundred twenty".