100100100011017 has 2 divisors, whose sum is σ = 100100100011018. Its totient is φ = 100100100011016.

The previous prime is 100100100010997. The next prime is 100100100011053. The reversal of 100100100011017 is 710110001001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66786470945401 + 33313629065616 = 8172299^2 + 5771796^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100100011017 - 2¹⁹ = 100100099486729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100100010988 and 100100100011006.

It is not a weakly prime, because it can be changed into another prime (100100100017017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050050005508 + 50050050005509.

It is an arithmetic number, because the mean of its divisors is an integer number (50050050005509).

Almost surely, 2^{100100100011017} is an apocalyptic number.

It is an amenable number.

100100100011017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100100011017 is an equidigital number, since it uses as much as digits as its factorization.

100100100011017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 100100100011017 its reverse (710110001001001), we get a palindrome (810210101012018).

The spelling of 100100100011017 in words is "one hundred trillion, one hundred billion, one hundred million, eleven thousand, seventeen".