1009191009097 has 2 divisors, whose sum is σ = 1009191009098. Its totient is φ = 1009191009096.

The previous prime is 1009191009059. The next prime is 1009191009131. The reversal of 1009191009097 is 7909001919001.

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., 686344314681 + 322846694416 = 828459^2 + 568196^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1009191009097 is a prime.

It is a super-2 number, since 2×1009191009097² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1009191009397) 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, 504595504548 + 504595504549.

It is an arithmetic number, because the mean of its divisors is an integer number (504595504549).

Almost surely, 2^{1009191009097} is an apocalyptic number.

It is an amenable number.

1009191009097 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009191009097 is an equidigital number, since it uses as much as digits as its factorization.

1009191009097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45927, while the sum is 46.

The spelling of 1009191009097 in words is "one trillion, nine billion, one hundred ninety-one million, nine thousand, ninety-seven".