201003221000010 has 256 divisors, whose sum is σ = 567833540585472. Its totient is φ = 44893390924800.

The previous prime is 201003220999913. The next prime is 201003221000017. The reversal of 201003221000010 is 10000122300102.

It is a super-2 number, since 2×201003221000010² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201003221000010.

It is not an unprimeable number, because it can be changed into a prime (201003221000017) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6947181504 + ... + 6947210436.

It is an arithmetic number, because the mean of its divisors is an integer number (2218099767912).

Almost surely, 2^{201003221000010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201003221000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283916770292736).

201003221000010 is an abundant number, since it is smaller than the sum of its proper divisors (366830319585462).

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

201003221000010 is a wasteful number, since it uses less digits than its factorization.

201003221000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32021.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 201003221000010 its reverse (10000122300102), we get a palindrome (211003343300112).

The spelling of 201003221000010 in words is "two hundred one trillion, three billion, two hundred twenty-one million, ten", and thus it is an aban number.