101212102121017 has 2 divisors, whose sum is σ = 101212102121018. Its totient is φ = 101212102121016.

The previous prime is 101212102121003. The next prime is 101212102121021. The reversal of 101212102121017 is 710121201212101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55152248719936 + 46059853401081 = 7426456^2 + 6786741^2 .

It is a cyclic number.

It is not a de Polignac number, because 101212102121017 - 2⁷ = 101212102120889 is a prime.

It is a super-2 number, since 2×101212102121017² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101212102121917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50606051060508 + 50606051060509.

It is an arithmetic number, because the mean of its divisors is an integer number (50606051060509).

Almost surely, 2^{101212102121017} is an apocalyptic number.

It is an amenable number.

101212102121017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101212102121017 is an equidigital number, since it uses as much as digits as its factorization.

101212102121017 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 22.

Adding to 101212102121017 its reverse (710121201212101), we get a palindrome (811333303333118).

The spelling of 101212102121017 in words is "one hundred one trillion, two hundred twelve billion, one hundred two million, one hundred twenty-one thousand, seventeen".