10091001001001 has 2 divisors, whose sum is σ = 10091001001002. Its totient is φ = 10091001001000.

The previous prime is 10091001000929. The next prime is 10091001001019. The reversal of 10091001001001 is 10010010019001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9465990589225 + 625010411776 = 3076685^2 + 790576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10091001001001 is a prime.

10091001001001 is a modest number, since divided by 1001001 gives 10091 as remainder.

It is not a weakly prime, because it can be changed into another prime (10091001001021) 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, 5045500500500 + 5045500500501.

It is an arithmetic number, because the mean of its divisors is an integer number (5045500500501).

Almost surely, 2^{10091001001001} is an apocalyptic number.

It is an amenable number.

10091001001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10091001001001 is an equidigital number, since it uses as much as digits as its factorization.

10091001001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 10091001001001 in words is "ten trillion, ninety-one billion, one million, one thousand, one".