102100020017 has 2 divisors, whose sum is σ = 102100020018. Its totient is φ = 102100020016.

The previous prime is 102100019977. The next prime is 102100020047. The reversal of 102100020017 is 710020001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53590398016 + 48509622001 = 231496^2 + 220249^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100020017 - 2⁶ = 102100019953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102100019983 and 102100020010.

It is not a weakly prime, because it can be changed into another prime (102100020047) 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, 51050010008 + 51050010009.

It is an arithmetic number, because the mean of its divisors is an integer number (51050010009).

Almost surely, 2^102100020017 is an apocalyptic number.

It is an amenable number.

102100020017 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100020017 is an equidigital number, since it uses as much as digits as its factorization.

102100020017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 14.

Adding to 102100020017 its reverse (710020001201), we get a palindrome (812120021218).

The spelling of 102100020017 in words is "one hundred two billion, one hundred million, twenty thousand, seventeen".