22202010102001 has 2 divisors, whose sum is σ = 22202010102002. Its totient is φ = 22202010102000.

The previous prime is 22202010101903. The next prime is 22202010102043. The reversal of 22202010102001 is 10020101020222.

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., 22196347690000 + 5662412001 = 4711300^2 + 75249^2 .

It is a cyclic number.

It is not a de Polignac number, because 22202010102001 - 2²⁷ = 22201875884273 is a prime.

It is not a weakly prime, because it can be changed into another prime (22202010100001) 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, 11101005051000 + 11101005051001.

It is an arithmetic number, because the mean of its divisors is an integer number (11101005051001).

Almost surely, 2^{22202010102001} is an apocalyptic number.

It is an amenable number.

22202010102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22202010102001 is an equidigital number, since it uses as much as digits as its factorization.

22202010102001 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 22202010102001 its reverse (10020101020222), we get a palindrome (32222111122223).

The spelling of 22202010102001 in words is "twenty-two trillion, two hundred two billion, ten million, one hundred two thousand, one".