101020100017 has 2 divisors, whose sum is σ = 101020100018. Its totient is φ = 101020100016.

The previous prime is 101020099933. The next prime is 101020100021. The reversal of 101020100017 is 710001020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93760889616 + 7259210401 = 306204^2 + 85201^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020100017 - 2¹⁹ = 101019575729 is a prime.

It is not a weakly prime, because it can be changed into another prime (101020100617) 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, 50510050008 + 50510050009.

It is an arithmetic number, because the mean of its divisors is an integer number (50510050009).

Almost surely, 2^101020100017 is an apocalyptic number.

It is an amenable number.

101020100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020100017 is an equidigital number, since it uses as much as digits as its factorization.

101020100017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 13.

Adding to 101020100017 its reverse (710001020101), we get a palindrome (811021120118).

The spelling of 101020100017 in words is "one hundred one billion, twenty million, one hundred thousand, seventeen".