212100102017 has 2 divisors, whose sum is σ = 212100102018. Its totient is φ = 212100102016.

The previous prime is 212100101981. The next prime is 212100102029. The reversal of 212100102017 is 710201001212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211783119601 + 316982416 = 460199^2 + 17804^2 .

It is a cyclic number.

It is not a de Polignac number, because 212100102017 - 2¹⁶ = 212100036481 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212100101986 and 212100102004.

It is not a weakly prime, because it can be changed into another prime (212100902017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050051008 + 106050051009.

It is an arithmetic number, because the mean of its divisors is an integer number (106050051009).

Almost surely, 2^212100102017 is an apocalyptic number.

It is an amenable number.

212100102017 is a deficient number, since it is larger than the sum of its proper divisors (1).

212100102017 is an equidigital number, since it uses as much as digits as its factorization.

212100102017 is an odious number, because the sum of its binary digits is odd.

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

Adding to 212100102017 its reverse (710201001212), we get a palindrome (922301103229).

The spelling of 212100102017 in words is "two hundred twelve billion, one hundred million, one hundred two thousand, seventeen".