110045010120 has 128 divisors (see below), whose sum is σ = 335083392000. Its totient is φ = 28906223360.

The previous prime is 110045010107. The next prime is 110045010121. The reversal of 110045010120 is 21010540011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110045010120.

It is not an unprimeable number, because it can be changed into a prime (110045010121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10721551 + ... + 10731809.

It is an arithmetic number, because the mean of its divisors is an integer number (2617839000).

Almost surely, 2^110045010120 is an apocalyptic number.

110045010120 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 110045010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167541696000).

110045010120 is an abundant number, since it is smaller than the sum of its proper divisors (225038381880).

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

110045010120 is a wasteful number, since it uses less digits than its factorization.

110045010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11603 (or 11599 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 110045010120 its reverse (21010540011), we get a palindrome (131055550131).

The spelling of 110045010120 in words is "one hundred ten billion, forty-five million, ten thousand, one hundred twenty".