110201112120 has 256 divisors, whose sum is σ = 385662228480. Its totient is φ = 24894464000.

The previous prime is 110201112079. The next prime is 110201112157. The reversal of 110201112120 is 21211102011.

It is a super-2 number, since 2×110201112120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110201112096 and 110201112105.

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 63 ways as a sum of consecutive naturals, for example, 2242129 + ... + 2290751.

It is an arithmetic number, because the mean of its divisors is an integer number (1506493080).

Almost surely, 2^110201112120 is an apocalyptic number.

110201112120 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 110201112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192831114240).

110201112120 is an abundant number, since it is smaller than the sum of its proper divisors (275461116360).

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

110201112120 is a wasteful number, since it uses less digits than its factorization.

110201112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48766 (or 48762 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110201112120 its reverse (21211102011), we get a palindrome (131412214131).

The spelling of 110201112120 in words is "one hundred ten billion, two hundred one million, one hundred twelve thousand, one hundred twenty".