9101010097 has 2 divisors, whose sum is σ = 9101010098. Its totient is φ = 9101010096.

The previous prime is 9101010091. The next prime is 9101010103. The reversal of 9101010097 is 7900101019.

9101010097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (9101010091) and next prime (9101010103).

It can be written as a sum of positive squares in only one way, i.e., 8993866896 + 107143201 = 94836^2 + 10351^2 .

It is a cyclic number.

It is not a de Polignac number, because 9101010097 - 2¹⁵ = 9100977329 is a prime.

It is not a weakly prime, because it can be changed into another prime (9101010091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4550505048 + 4550505049.

It is an arithmetic number, because the mean of its divisors is an integer number (4550505049).

Almost surely, 2^9101010097 is an apocalyptic number.

It is an amenable number.

9101010097 is a deficient number, since it is larger than the sum of its proper divisors (1).

9101010097 is an equidigital number, since it uses as much as digits as its factorization.

9101010097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 28.

The square root of 9101010097 is about 95399.2143416286. The cubic root of 9101010097 is about 2087.8367226768.

The spelling of 9101010097 in words is "nine billion, one hundred one million, ten thousand, ninety-seven".