101020120217 has 2 divisors, whose sum is σ = 101020120218. Its totient is φ = 101020120216.

The previous prime is 101020120181. The next prime is 101020120247. The reversal of 101020120217 is 712021020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100486464016 + 533656201 = 316996^2 + 23101^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020120217 - 2²⁰ = 101019071641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101020120195 and 101020120204.

It is not a weakly prime, because it can be changed into another prime (101020120247) 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, 50510060108 + 50510060109.

It is an arithmetic number, because the mean of its divisors is an integer number (50510060109).

Almost surely, 2^101020120217 is an apocalyptic number.

It is an amenable number.

101020120217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020120217 is an equidigital number, since it uses as much as digits as its factorization.

101020120217 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 101020120217 its reverse (712021020101), we get a palindrome (813041140318).

The spelling of 101020120217 in words is "one hundred one billion, twenty million, one hundred twenty thousand, two hundred seventeen".