101101021002017 has 2 divisors, whose sum is σ = 101101021002018. Its totient is φ = 101101021002016.

The previous prime is 101101021001963. The next prime is 101101021002019. The reversal of 101101021002017 is 710200120101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101059773016801 + 41247985216 = 10052849^2 + 203096^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101021002017 - 2³² = 101096726034721 is a prime.

Together with 101101021002019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101101021001986 and 101101021002004.

It is not a weakly prime, because it can be changed into another prime (101101021002019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550510501008 + 50550510501009.

It is an arithmetic number, because the mean of its divisors is an integer number (50550510501009).

Almost surely, 2^{101101021002017} is an apocalyptic number.

It is an amenable number.

101101021002017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101021002017 is an equidigital number, since it uses as much as digits as its factorization.

101101021002017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 101101021002017 its reverse (710200120101101), we get a palindrome (811301141103118).

The spelling of 101101021002017 in words is "one hundred one trillion, one hundred one billion, twenty-one million, two thousand, seventeen".