110012020128 has 120 divisors (see below), whose sum is σ = 325604278692. Its totient is φ = 36436967424.

The previous prime is 110012020121. The next prime is 110012020159. The reversal of 110012020128 is 821020210011.

110012020128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 108907920144 + 1104099984 = 330012^2 + 33228^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 110012020128.

It is not an unprimeable number, because it can be changed into a prime (110012020121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 271776 + ... + 542112.

Almost surely, 2^110012020128 is an apocalyptic number.

110012020128 is a gapful number since it is divisible by the number (18) 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 110012020128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162802139346).

110012020128 is an abundant number, since it is smaller than the sum of its proper divisors (215592258564).

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

110012020128 is a wasteful number, since it uses less digits than its factorization.

110012020128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270516 (or 270499 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110012020128 its reverse (821020210011), we get a palindrome (931032230139).

The spelling of 110012020128 in words is "one hundred ten billion, twelve million, twenty thousand, one hundred twenty-eight".