110003002120 has 96 divisors (see below), whose sum is σ = 275780516760. Its totient is φ = 39453004800.

The previous prime is 110003002103. The next prime is 110003002141. The reversal of 110003002120 is 21200300011.

It can be written as a sum of positive squares in 4 ways, for example, as 103551378436 + 6451623684 = 321794^2 + 80322^2 .

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 = 110003002097 and 110003002106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197650 + ... + 508990.

Almost surely, 2^110003002120 is an apocalyptic number.

110003002120 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 110003002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137890258380).

110003002120 is an abundant number, since it is smaller than the sum of its proper divisors (165777514640).

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

110003002120 is a wasteful number, since it uses less digits than its factorization.

110003002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311447 (or 311432 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 110003002120 its reverse (21200300011), we get a palindrome (131203302131).

The spelling of 110003002120 in words is "one hundred ten billion, three million, two thousand, one hundred twenty".