102001121220221 has 2 divisors, whose sum is σ = 102001121220222. Its totient is φ = 102001121220220.

The previous prime is 102001121220137. The next prime is 102001121220253. The reversal of 102001121220221 is 122022121100201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81504585384121 + 20496535836100 = 9027989^2 + 4527310^2 .

It is a cyclic number.

It is not a de Polignac number, because 102001121220221 - 2¹⁰ = 102001121219197 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102001121220221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102001121220421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000560610110 + 51000560610111.

It is an arithmetic number, because the mean of its divisors is an integer number (51000560610111).

Almost surely, 2^{102001121220221} is an apocalyptic number.

It is an amenable number.

102001121220221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001121220221 is an equidigital number, since it uses as much as digits as its factorization.

102001121220221 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 17.

Adding to 102001121220221 its reverse (122022121100201), we get a palindrome (224023242320422).

The spelling of 102001121220221 in words is "one hundred two trillion, one billion, one hundred twenty-one million, two hundred twenty thousand, two hundred twenty-one".