22002100210001 has 2 divisors, whose sum is σ = 22002100210002. Its totient is φ = 22002100210000.

The previous prime is 22002100209983. The next prime is 22002100210061. The reversal of 22002100210001 is 10001200120022.

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., 21292908851776 + 709191358225 = 4614424^2 + 842135^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22002100210001 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (22002100210061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11001050105000 + 11001050105001.

It is an arithmetic number, because the mean of its divisors is an integer number (11001050105001).

Almost surely, 2^{22002100210001} is an apocalyptic number.

It is an amenable number.

22002100210001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22002100210001 is an equidigital number, since it uses as much as digits as its factorization.

22002100210001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22002100210001 its reverse (10001200120022), we get a palindrome (32003300330023).

The spelling of 22002100210001 in words is "twenty-two trillion, two billion, one hundred million, two hundred ten thousand, one".