102221220001 has 2 divisors, whose sum is σ = 102221220002. Its totient is φ = 102221220000.

The previous prime is 102221219993. The next prime is 102221220029. The reversal of 102221220001 is 100022122201.

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., 74010658401 + 28210561600 = 272049^2 + 167960^2 .

It is a cyclic number.

It is not a de Polignac number, because 102221220001 - 2³ = 102221219993 is a prime.

It is not a weakly prime, because it can be changed into another prime (102221220061) 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, 51110610000 + 51110610001.

It is an arithmetic number, because the mean of its divisors is an integer number (51110610001).

Almost surely, 2^102221220001 is an apocalyptic number.

It is an amenable number.

102221220001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221220001 is an equidigital number, since it uses as much as digits as its factorization.

102221220001 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 102221220001 its reverse (100022122201), we get a palindrome (202243342202).

The spelling of 102221220001 in words is "one hundred two billion, two hundred twenty-one million, two hundred twenty thousand, one".