102121020017 has 2 divisors, whose sum is σ = 102121020018. Its totient is φ = 102121020016.

The previous prime is 102121019969. The next prime is 102121020019. The reversal of 102121020017 is 710020121201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63065774641 + 39055245376 = 251129^2 + 197624^2 .

It is a cyclic number.

It is not a de Polignac number, because 102121020017 - 2⁶ = 102121019953 is a prime.

Together with 102121020019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 102121019977 and 102121020004.

It is not a weakly prime, because it can be changed into another prime (102121020019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060510008 + 51060510009.

It is an arithmetic number, because the mean of its divisors is an integer number (51060510009).

Almost surely, 2^102121020017 is an apocalyptic number.

It is an amenable number.

102121020017 is a deficient number, since it is larger than the sum of its proper divisors (1).

102121020017 is an equidigital number, since it uses as much as digits as its factorization.

102121020017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 102121020017 its reverse (710020121201), we get a palindrome (812141141218).

The spelling of 102121020017 in words is "one hundred two billion, one hundred twenty-one million, twenty thousand, seventeen".