10221122210201 has 16 divisors (see below), whose sum is σ = 12421500159744. Its totient is φ = 8210222283264.

The previous prime is 10221122210171. The next prime is 10221122210207. The reversal of 10221122210201 is 10201222112201.

It is a cyclic number.

It is not a de Polignac number, because 10221122210201 - 2⁶ = 10221122210137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10221122210201.

It is not an unprimeable number, because it can be changed into a prime (10221122210207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184289405 + ... + 184344858.

It is an arithmetic number, because the mean of its divisors is an integer number (776343759984).

Almost surely, 2^{10221122210201} is an apocalyptic number.

It is an amenable number.

10221122210201 is a deficient number, since it is larger than the sum of its proper divisors (2200377949543).

10221122210201 is a wasteful number, since it uses less digits than its factorization.

10221122210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368634520.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10221122210201 its reverse (10201222112201), we get a palindrome (20422344322402).

The spelling of 10221122210201 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred ten thousand, two hundred one".