2122022120201 has 2 divisors, whose sum is σ = 2122022120202. Its totient is φ = 2122022120200.

The previous prime is 2122022120159. The next prime is 2122022120233. The reversal of 2122022120201 is 1020212202212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2079493782025 + 42528338176 = 1442045^2 + 206224^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122022120201 - 2³⁰ = 2120948378377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2122022120201.

It is not a weakly prime, because it can be changed into another prime (2122022120401) 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, 1061011060100 + 1061011060101.

It is an arithmetic number, because the mean of its divisors is an integer number (1061011060101).

Almost surely, 2^{2122022120201} is an apocalyptic number.

It is an amenable number.

2122022120201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122022120201 is an equidigital number, since it uses as much as digits as its factorization.

2122022120201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2122022120201 its reverse (1020212202212), we get a palindrome (3142234322413).

The spelling of 2122022120201 in words is "two trillion, one hundred twenty-two billion, twenty-two million, one hundred twenty thousand, two hundred one".