10001122201221 has 8 divisors (see below), whose sum is σ = 13695230401824. Its totient is φ = 6487214400720.

The previous prime is 10001122201199. The next prime is 10001122201247. The reversal of 10001122201221 is 12210222110001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10001122201221 - 2¹⁰ = 10001122200197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10001122201221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001122201321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 45050099895 + ... + 45050100116.

It is an arithmetic number, because the mean of its divisors is an integer number (1711903800228).

Almost surely, 2^{10001122201221} is an apocalyptic number.

It is an amenable number.

10001122201221 is a deficient number, since it is larger than the sum of its proper divisors (3694108200603).

10001122201221 is an equidigital number, since it uses as much as digits as its factorization.

10001122201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90100200051.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10001122201221 its reverse (12210222110001), we get a palindrome (22211344311222).

The spelling of 10001122201221 in words is "ten trillion, one billion, one hundred twenty-two million, two hundred one thousand, two hundred twenty-one".