9100009109101 has 2 divisors, whose sum is σ = 9100009109102. Its totient is φ = 9100009109100.

The previous prime is 9100009109053. The next prime is 9100009109141. The reversal of 9100009109101 is 1019019000019.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5632201647076 + 3467807462025 = 2373226^2 + 1862205^2 .

It is a cyclic number.

It is not a de Polignac number, because 9100009109101 - 2¹⁹ = 9100008584813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9100009109141) 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, 4550004554550 + 4550004554551.

It is an arithmetic number, because the mean of its divisors is an integer number (4550004554551).

Almost surely, 2^{9100009109101} is an apocalyptic number.

It is an amenable number.

9100009109101 is a deficient number, since it is larger than the sum of its proper divisors (1).

9100009109101 is an equidigital number, since it uses as much as digits as its factorization.

9100009109101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 31.

The spelling of 9100009109101 in words is "nine trillion, one hundred billion, nine million, one hundred nine thousand, one hundred one".