201120102302224 has 160 divisors (see below), whose sum is σ = 487809821387520. Its totient is φ = 78324067024896.

The previous prime is 201120102302213. The next prime is 201120102302233. The reversal of 201120102302224 is 422203201021102.

201120102302224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201120102302195 and 201120102302204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2860319292 + ... + 2860389604.

It is an arithmetic number, because the mean of its divisors is an integer number (3048811383672).

Almost surely, 2^{201120102302224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201120102302224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243904910693760).

201120102302224 is an abundant number, since it is smaller than the sum of its proper divisors (286689719085296).

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

201120102302224 is a wasteful number, since it uses less digits than its factorization.

201120102302224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122177 (or 122171 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 201120102302224 its reverse (422203201021102), we get a palindrome (623323303323326).

The spelling of 201120102302224 in words is "two hundred one trillion, one hundred twenty billion, one hundred two million, three hundred two thousand, two hundred twenty-four".