101000001017 has 4 divisors (see below), whose sum is σ = 101058015396. Its totient is φ = 100941986640.

The previous prime is 101000000971. The next prime is 101000001031. The reversal of 101000001017 is 710100000101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 17951712256 + 83048288761 = 133984^2 + 288181^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000001017 - 2¹² = 100999996921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000000989 and 101000001007.

It is not an unprimeable number, because it can be changed into a prime (101000001077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29004578 + ... + 29008059.

It is an arithmetic number, because the mean of its divisors is an integer number (25264503849).

Almost surely, 2^101000001017 is an apocalyptic number.

It is an amenable number.

101000001017 is a deficient number, since it is larger than the sum of its proper divisors (58014379).

101000001017 is an equidigital number, since it uses as much as digits as its factorization.

101000001017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58014378.

The product of its (nonzero) digits is 7, while the sum is 11.

Adding to 101000001017 its reverse (710100000101), we get a palindrome (811100001118).

It can be divided in two parts, 10100000101 and 7, that multiplied together give a palindrome (70700000707).

The spelling of 101000001017 in words is "one hundred one billion, one thousand, seventeen".