201001022210010 has 768 divisors, whose sum is σ = 569691408384000. Its totient is φ = 45282539427840.

The previous prime is 201001022209987. The next prime is 201001022210033. The reversal of 201001022210010 is 10012220100102.

It is an interprime number because it is at equal distance from previous prime (201001022209987) and next prime (201001022210033).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 66578674281 + ... + 66578677299.

It is an arithmetic number, because the mean of its divisors is an integer number (741785688000).

Almost surely, 2^{201001022210010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201001022210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284845704192000).

201001022210010 is an abundant number, since it is smaller than the sum of its proper divisors (368690386173990).

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

201001022210010 is a wasteful number, since it uses less digits than its factorization.

201001022210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201001022210010 its reverse (10012220100102), we get a palindrome (211013242310112).

The spelling of 201001022210010 in words is "two hundred one trillion, one billion, twenty-two million, two hundred ten thousand, ten".