2122202100001 has 2 divisors, whose sum is σ = 2122202100002. Its totient is φ = 2122202100000.

The previous prime is 2122202099977. The next prime is 2122202100019. The reversal of 2122202100001 is 1000012022212.

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., 1957914555025 + 164287544976 = 1399255^2 + 405324^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122202100001 - 2⁷ = 2122202099873 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122202100041) 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, 1061101050000 + 1061101050001.

It is an arithmetic number, because the mean of its divisors is an integer number (1061101050001).

Almost surely, 2^{2122202100001} is an apocalyptic number.

It is an amenable number.

2122202100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122202100001 is an equidigital number, since it uses as much as digits as its factorization.

2122202100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2122202100001 its reverse (1000012022212), we get a palindrome (3122214122213).

The spelling of 2122202100001 in words is "two trillion, one hundred twenty-two billion, two hundred two million, one hundred thousand, one".