10201122202208 has 96 divisors (see below), whose sum is σ = 23447490393600. Its totient is φ = 4366954166400.

The previous prime is 10201122202199. The next prime is 10201122202217. The reversal of 10201122202208 is 80220222110201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10201122202199) and next prime (10201122202217).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9165533 + ... + 10218083.

It is an arithmetic number, because the mean of its divisors is an integer number (244244691600).

Almost surely, 2^{10201122202208} 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 10201122202208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11723745196800).

10201122202208 is an abundant number, since it is smaller than the sum of its proper divisors (13246368191392).

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

10201122202208 is an equidigital number, since it uses as much as digits as its factorization.

10201122202208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053465 (or 1053443 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 10201122202208 its reverse (80220222110201), we get a palindrome (90421344312409).

The spelling of 10201122202208 in words is "ten trillion, two hundred one billion, one hundred twenty-two million, two hundred two thousand, two hundred eight".