212102102117 has 2 divisors, whose sum is σ = 212102102118. Its totient is φ = 212102102116.

The previous prime is 212102102111. The next prime is 212102102141. The reversal of 212102102117 is 711201201212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208301872801 + 3800229316 = 456401^2 + 61646^2 .

It is a cyclic number.

It is not a de Polignac number, because 212102102117 - 2⁶ = 212102102053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212102102111) 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, 106051051058 + 106051051059.

It is an arithmetic number, because the mean of its divisors is an integer number (106051051059).

Almost surely, 2^212102102117 is an apocalyptic number.

It is an amenable number.

212102102117 is a deficient number, since it is larger than the sum of its proper divisors (1).

212102102117 is an equidigital number, since it uses as much as digits as its factorization.

212102102117 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 20.

Adding to 212102102117 its reverse (711201201212), we get a palindrome (923303303329).

The spelling of 212102102117 in words is "two hundred twelve billion, one hundred two million, one hundred two thousand, one hundred seventeen".