101050100017 has 2 divisors, whose sum is σ = 101050100018. Its totient is φ = 101050100016.

The previous prime is 101050099999. The next prime is 101050100069. The reversal of 101050100017 is 710001050101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63103449616 + 37946650401 = 251204^2 + 194799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101050100017 is a prime.

It is a super-2 number, since 2×101050100017² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101050100617) 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, 50525050008 + 50525050009.

It is an arithmetic number, because the mean of its divisors is an integer number (50525050009).

Almost surely, 2^101050100017 is an apocalyptic number.

It is an amenable number.

101050100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101050100017 is an equidigital number, since it uses as much as digits as its factorization.

101050100017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35, while the sum is 16.

Adding to 101050100017 its reverse (710001050101), we get a palindrome (811051150118).

The spelling of 101050100017 in words is "one hundred one billion, fifty million, one hundred thousand, seventeen".