102121020217 has 2 divisors, whose sum is σ = 102121020218. Its totient is φ = 102121020216.

The previous prime is 102121020179. The next prime is 102121020227. The reversal of 102121020217 is 712020121201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94266806841 + 7854213376 = 307029^2 + 88624^2 .

It is an emirp because it is prime and its reverse (712020121201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102121020217 - 2¹⁹ = 102120495929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102121020194 and 102121020203.

It is not a weakly prime, because it can be changed into another prime (102121020227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060510108 + 51060510109.

It is an arithmetic number, because the mean of its divisors is an integer number (51060510109).

Almost surely, 2^102121020217 is an apocalyptic number.

It is an amenable number.

102121020217 is a deficient number, since it is larger than the sum of its proper divisors (1).

102121020217 is an equidigital number, since it uses as much as digits as its factorization.

102121020217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 102121020217 its reverse (712020121201), we get a palindrome (814141141418).

The spelling of 102121020217 in words is "one hundred two billion, one hundred twenty-one million, twenty thousand, two hundred seventeen".