102002001022241 has 2 divisors, whose sum is σ = 102002001022242. Its totient is φ = 102002001022240.

The previous prime is 102002001022217. The next prime is 102002001022307. The reversal of 102002001022241 is 142220100200201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68818306662400 + 33183694359841 = 8295680^2 + 5760529^2 .

It is a cyclic number.

It is not a de Polignac number, because 102002001022241 - 2⁶ = 102002001022177 is a prime.

It is not a weakly prime, because it can be changed into another prime (102002001022841) 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, 51001000511120 + 51001000511121.

It is an arithmetic number, because the mean of its divisors is an integer number (51001000511121).

Almost surely, 2^{102002001022241} is an apocalyptic number.

It is an amenable number.

102002001022241 is a deficient number, since it is larger than the sum of its proper divisors (1).

102002001022241 is an equidigital number, since it uses as much as digits as its factorization.

102002001022241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102002001022241 its reverse (142220100200201), we get a palindrome (244222101222442).

The spelling of 102002001022241 in words is "one hundred two trillion, two billion, one million, twenty-two thousand, two hundred forty-one".