102200002001 has 2 divisors, whose sum is σ = 102200002002. Its totient is φ = 102200002000.

The previous prime is 102200001983. The next prime is 102200002013. The reversal of 102200002001 is 100200002201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95951257600 + 6248744401 = 309760^2 + 79049^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200002001 - 2¹⁸ = 102199739857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102200002001.

It is not a weakly prime, because it can be changed into another prime (102200002031) 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, 51100001000 + 51100001001.

It is an arithmetic number, because the mean of its divisors is an integer number (51100001001).

Almost surely, 2^102200002001 is an apocalyptic number.

It is an amenable number.

102200002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200002001 is an equidigital number, since it uses as much as digits as its factorization.

102200002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 102200002001 its reverse (100200002201), we get a palindrome (202400004202).

The spelling of 102200002001 in words is "one hundred two billion, two hundred million, two thousand, one".