100003111001 has 2 divisors, whose sum is σ = 100003111002. Its totient is φ = 100003111000.

The previous prime is 100003110967. The next prime is 100003111007. The reversal of 100003111001 is 100111300001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74944537600 + 25058573401 = 273760^2 + 158299^2 .

It is an emirp because it is prime and its reverse (100111300001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100003111001 - 2²² = 99998916697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100003111001.

It is not a weakly prime, because it can be changed into another prime (100003111007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001555500 + 50001555501.

It is an arithmetic number, because the mean of its divisors is an integer number (50001555501).

Almost surely, 2^100003111001 is an apocalyptic number.

It is an amenable number.

100003111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100003111001 is an equidigital number, since it uses as much as digits as its factorization.

100003111001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 100003111001 its reverse (100111300001), we get a palindrome (200114411002).

The spelling of 100003111001 in words is "one hundred billion, three million, one hundred eleven thousand, one".