100711000001 has 2 divisors, whose sum is σ = 100711000002. Its totient is φ = 100711000000.

The previous prime is 100710999989. The next prime is 100711000037. The reversal of 100711000001 is 100000117001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90750960001 + 9960040000 = 301249^2 + 99800^2 .

It is an emirp because it is prime and its reverse (100000117001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100711000001 - 2¹⁰ = 100710998977 is a prime.

It is not a weakly prime, because it can be changed into another prime (100711000081) 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, 50355500000 + 50355500001.

It is an arithmetic number, because the mean of its divisors is an integer number (50355500001).

Almost surely, 2^100711000001 is an apocalyptic number.

It is an amenable number.

100711000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100711000001 is an equidigital number, since it uses as much as digits as its factorization.

100711000001 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 11.

Adding to 100711000001 its reverse (100000117001), we get a palindrome (200711117002).

The spelling of 100711000001 in words is "one hundred billion, seven hundred eleven million, one", and thus it is an aban number.