100011001101017 has 2 divisors, whose sum is σ = 100011001101018. Its totient is φ = 100011001101016.

The previous prime is 100011001101013. The next prime is 100011001101023. The reversal of 100011001101017 is 710101100110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93207516595216 + 6803484505801 = 9654404^2 + 2608349^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011001101017 - 2² = 100011001101013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100011001100992 and 100011001101010.

It is not a weakly prime, because it can be changed into another prime (100011001101013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005500550508 + 50005500550509.

It is an arithmetic number, because the mean of its divisors is an integer number (50005500550509).

Almost surely, 2^{100011001101017} is an apocalyptic number.

It is an amenable number.

100011001101017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011001101017 is an equidigital number, since it uses as much as digits as its factorization.

100011001101017 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 14.

Adding to 100011001101017 its reverse (710101100110001), we get a palindrome (810112101211018).

The spelling of 100011001101017 in words is "one hundred trillion, eleven billion, one million, one hundred one thousand, seventeen".