110201330021120 has 288 divisors, whose sum is σ = 287072439474240. Its totient is φ = 40289222983680.

The previous prime is 110201330021047. The next prime is 110201330021191. The reversal of 110201330021120 is 21120033102011.

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 31 ways as a sum of consecutive naturals, for example, 3811993226 + ... + 3812022134.

It is an arithmetic number, because the mean of its divisors is an integer number (996779303730).

Almost surely, 2^{110201330021120} is an apocalyptic number.

110201330021120 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 110201330021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143536219737120).

110201330021120 is an abundant number, since it is smaller than the sum of its proper divisors (176871109453120).

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

110201330021120 is a wasteful number, since it uses less digits than its factorization.

110201330021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31191 (or 31177 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 110201330021120 its reverse (21120033102011), we get a palindrome (131321363123131).

The spelling of 110201330021120 in words is "one hundred ten trillion, two hundred one billion, three hundred thirty million, twenty-one thousand, one hundred twenty".