101021012002217 has 2 divisors, whose sum is σ = 101021012002218. Its totient is φ = 101021012002216.

The previous prime is 101021012002201. The next prime is 101021012002237. The reversal of 101021012002217 is 712200210120101.

It is a happy number.

It is an a-pointer prime, because the next prime (101021012002237) can be obtained adding 101021012002217 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85731692057881 + 15289319944336 = 9259141^2 + 3910156^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021012002217 - 2⁴ = 101021012002201 is a prime.

It is not a weakly prime, because it can be changed into another prime (101021012002237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510506001108 + 50510506001109.

It is an arithmetic number, because the mean of its divisors is an integer number (50510506001109).

Almost surely, 2^{101021012002217} is an apocalyptic number.

It is an amenable number.

101021012002217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021012002217 is an equidigital number, since it uses as much as digits as its factorization.

101021012002217 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 101021012002217 its reverse (712200210120101), we get a palindrome (813221222122318).

The spelling of 101021012002217 in words is "one hundred one trillion, twenty-one billion, twelve million, two thousand, two hundred seventeen".