10001111091901 has 2 divisors, whose sum is σ = 10001111091902. Its totient is φ = 10001111091900.

The previous prime is 10001111091889. The next prime is 10001111091913. The reversal of 10001111091901 is 10919011110001.

It is a balanced prime because it is at equal distance from previous prime (10001111091889) and next prime (10001111091913).

It can be written as a sum of positive squares in only one way, i.e., 5129776539801 + 4871334552100 = 2264901^2 + 2207110^2 .

It is an emirp because it is prime and its reverse (10919011110001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10001111091901 - 2⁷ = 10001111091773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001111091931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000555545950 + 5000555545951.

It is an arithmetic number, because the mean of its divisors is an integer number (5000555545951).

Almost surely, 2^{10001111091901} is an apocalyptic number.

It is an amenable number.

10001111091901 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001111091901 is an equidigital number, since it uses as much as digits as its factorization.

10001111091901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 25.

The spelling of 10001111091901 in words is "ten trillion, one billion, one hundred eleven million, ninety-one thousand, nine hundred one".