22220002200001 has 2 divisors, whose sum is σ = 22220002200002. Its totient is φ = 22220002200000.

The previous prime is 22220002199999. The next prime is 22220002200017. The reversal of 22220002200001 is 10000220002222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19223173811776 + 2996828388225 = 4384424^2 + 1731135^2 .

It is a cyclic number.

It is not a de Polignac number, because 22220002200001 - 2¹ = 22220002199999 is a prime.

Together with 22220002199999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (22220002200091) 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, 11110001100000 + 11110001100001.

It is an arithmetic number, because the mean of its divisors is an integer number (11110001100001).

Almost surely, 2^{22220002200001} is an apocalyptic number.

It is an amenable number.

22220002200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22220002200001 is an equidigital number, since it uses as much as digits as its factorization.

22220002200001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 22220002200001 its reverse (10000220002222), we get a palindrome (32220222202223).

The spelling of 22220002200001 in words is "twenty-two trillion, two hundred twenty billion, two million, two hundred thousand, one".