100111010000941 has 2 divisors, whose sum is σ = 100111010000942. Its totient is φ = 100111010000940.

The previous prime is 100111010000923. The next prime is 100111010001007. The reversal of 100111010000941 is 149000010111001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86096686168900 + 14014323832041 = 9278830^2 + 3743571^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111010000941 - 2⁹ = 100111010000429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111010000341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055505000470 + 50055505000471.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505000471).

Almost surely, 2^{100111010000941} is an apocalyptic number.

It is an amenable number.

100111010000941 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111010000941 is an equidigital number, since it uses as much as digits as its factorization.

100111010000941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 100111010000941 its reverse (149000010111001), we get a palindrome (249111020111942).

The spelling of 100111010000941 in words is "one hundred trillion, one hundred eleven billion, ten million, nine hundred forty-one", and thus it is an aban number.