97116101 has 2 divisors, whose sum is σ = 97116102. Its totient is φ = 97116100.

The previous prime is 97116091. The next prime is 97116113. The reversal of 97116101 is 10161179.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86397025 + 10719076 = 9295^2 + 3274^2 .

It is a cyclic number.

It is not a de Polignac number, because 97116101 - 2¹⁰ = 97115077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (97116181) 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, 48558050 + 48558051.

It is an arithmetic number, because the mean of its divisors is an integer number (48558051).

Almost surely, 2^97116101 is an apocalyptic number.

It is an amenable number.

97116101 is a deficient number, since it is larger than the sum of its proper divisors (1).

97116101 is an equidigital number, since it uses as much as digits as its factorization.

97116101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 26.

The square root of 97116101 is about 9854.7501744083. The cubic root of 97116101 is about 459.6533320654.

The spelling of 97116101 in words is "ninety-seven million, one hundred sixteen thousand, one hundred one".