10221200221121 has 2 divisors, whose sum is σ = 10221200221122. Its totient is φ = 10221200221120.

The previous prime is 10221200221103. The next prime is 10221200221151. The reversal of 10221200221121 is 12112200212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10203622764721 + 17577456400 = 3194311^2 + 132580^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221200221121 - 2²⁶ = 10221133112257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10221200221121.

It is not a weakly prime, because it can be changed into another prime (10221200221151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110600110560 + 5110600110561.

It is an arithmetic number, because the mean of its divisors is an integer number (5110600110561).

Almost surely, 2^{10221200221121} is an apocalyptic number.

It is an amenable number.

10221200221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221200221121 is an equidigital number, since it uses as much as digits as its factorization.

10221200221121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10221200221121 its reverse (12112200212201), we get a palindrome (22333400433322).

The spelling of 10221200221121 in words is "ten trillion, two hundred twenty-one billion, two hundred million, two hundred twenty-one thousand, one hundred twenty-one".