120222122203201 has 2 divisors, whose sum is σ = 120222122203202. Its totient is φ = 120222122203200.

The previous prime is 120222122203187. The next prime is 120222122203217. The reversal of 120222122203201 is 102302221222021.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114951419971600 + 5270702231601 = 10721540^2 + 2295801^2 .

It is a cyclic number.

It is not a de Polignac number, because 120222122203201 - 2¹⁵ = 120222122170433 is a prime.

It is not a weakly prime, because it can be changed into another prime (120222122203241) 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 as a sum of consecutive naturals, namely, 60111061101600 + 60111061101601.

It is an arithmetic number, because the mean of its divisors is an integer number (60111061101601).

Almost surely, 2^{120222122203201} is an apocalyptic number.

It is an amenable number.

120222122203201 is a deficient number, since it is larger than the sum of its proper divisors (1).

120222122203201 is an equidigital number, since it uses as much as digits as its factorization.

120222122203201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 120222122203201 its reverse (102302221222021), we get a palindrome (222524343425222).

The spelling of 120222122203201 in words is "one hundred twenty trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred three thousand, two hundred one".