110201101120 has 112 divisors (see below), whose sum is σ = 286558987968. Its totient is φ = 40033013760.

The previous prime is 110201101117. The next prime is 110201101147. The reversal of 110201101120 is 21101102011.

110201101120 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 = 110201101097 and 110201101106.

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 15 ways as a sum of consecutive naturals, for example, 3621007 + ... + 3651313.

Almost surely, 2^110201101120 is an apocalyptic number.

110201101120 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 110201101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143279493984).

110201101120 is an abundant number, since it is smaller than the sum of its proper divisors (176357886848).

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

110201101120 is a wasteful number, since it uses less digits than its factorization.

110201101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31368 (or 31358 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110201101120 its reverse (21101102011), we get a palindrome (131302203131).

The spelling of 110201101120 in words is "one hundred ten billion, two hundred one million, one hundred one thousand, one hundred twenty".