102001100000221 has 2 divisors, whose sum is σ = 102001100000222. Its totient is φ = 102001100000220.

The previous prime is 102001100000141. The next prime is 102001100000227. The reversal of 102001100000221 is 122000001100201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77380787323225 + 24620312676996 = 8796635^2 + 4961886^2 .

It is a cyclic number.

It is not a de Polignac number, because 102001100000221 - 2⁹ = 102001099999709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102001100000198 and 102001100000207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102001100000227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000550000110 + 51000550000111.

It is an arithmetic number, because the mean of its divisors is an integer number (51000550000111).

Almost surely, 2^{102001100000221} is an apocalyptic number.

It is an amenable number.

102001100000221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001100000221 is an equidigital number, since it uses as much as digits as its factorization.

102001100000221 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 10.

Adding to 102001100000221 its reverse (122000001100201), we get a palindrome (224001101100422).

The spelling of 102001100000221 in words is "one hundred two trillion, one billion, one hundred million, two hundred twenty-one", and thus it is an aban number.