201003011012224 has 128 divisors (see below), whose sum is σ = 407599755264000. Its totient is φ = 98719636184064.

The previous prime is 201003011012201. The next prime is 201003011012311. The reversal of 201003011012224 is 422210110300102.

201003011012224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×201003011012224² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9220733677 + ... + 9220755475.

It is an arithmetic number, because the mean of its divisors is an integer number (3184373088000).

Almost surely, 2^{201003011012224} 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 201003011012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203799877632000).

201003011012224 is an abundant number, since it is smaller than the sum of its proper divisors (206596744251776).

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

201003011012224 is a wasteful number, since it uses less digits than its factorization.

201003011012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27550 (or 27538 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 201003011012224 its reverse (422210110300102), we get a palindrome (623213121312326).

The spelling of 201003011012224 in words is "two hundred one trillion, three billion, eleven million, twelve thousand, two hundred twenty-four".