10201122202121 has 4 divisors (see below), whose sum is σ = 10238764719744. Its totient is φ = 10163479684500.

The previous prime is 10201122202091. The next prime is 10201122202151. The reversal of 10201122202121 is 12120222110201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (10201122202091) and next prime (10201122202151).

It is a cyclic number.

It is not a de Polignac number, because 10201122202121 - 2³⁴ = 10183942332937 is a prime.

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 10201122202121.

It is not an unprimeable number, because it can be changed into a prime (10201122202151) 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 3 ways as a sum of consecutive naturals, for example, 18821258405 + ... + 18821258946.

It is an arithmetic number, because the mean of its divisors is an integer number (2559691179936).

Almost surely, 2^{10201122202121} is an apocalyptic number.

It is an amenable number.

10201122202121 is a deficient number, since it is larger than the sum of its proper divisors (37642517623).

10201122202121 is an equidigital number, since it uses as much as digits as its factorization.

10201122202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37642517622.

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

Adding to 10201122202121 its reverse (12120222110201), we get a palindrome (22321344312322).

The spelling of 10201122202121 in words is "ten trillion, two hundred one billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty-one".