9901010101097 has 2 divisors, whose sum is σ = 9901010101098. Its totient is φ = 9901010101096.

The previous prime is 9901010101091. The next prime is 9901010101139. The reversal of 9901010101097 is 7901010101099.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5837302434601 + 4063707666496 = 2416051^2 + 2015864^2 .

It is a cyclic number.

It is not a de Polignac number, because 9901010101097 - 2²² = 9901005906793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9901010101097.

It is not a weakly prime, because it can be changed into another prime (9901010101091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4950505050548 + 4950505050549.

It is an arithmetic number, because the mean of its divisors is an integer number (4950505050549).

Almost surely, 2^{9901010101097} is an apocalyptic number.

It is an amenable number.

9901010101097 is a deficient number, since it is larger than the sum of its proper divisors (1).

9901010101097 is an equidigital number, since it uses as much as digits as its factorization.

9901010101097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5103, while the sum is 38.

The spelling of 9901010101097 in words is "nine trillion, nine hundred one billion, ten million, one hundred one thousand, ninety-seven".