101116097 has 2 divisors, whose sum is σ = 101116098. Its totient is φ = 101116096.

The previous prime is 101116061. The next prime is 101116111. The reversal of 101116097 is 790611101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77457601 + 23658496 = 8801^2 + 4864^2 .

It is a cyclic number.

It is not a de Polignac number, because 101116097 - 2⁸ = 101115841 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101112097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50558048 + 50558049.

It is an arithmetic number, because the mean of its divisors is an integer number (50558049).

Almost surely, 2^101116097 is an apocalyptic number.

It is an amenable number.

101116097 is a deficient number, since it is larger than the sum of its proper divisors (1).

101116097 is an equidigital number, since it uses as much as digits as its factorization.

101116097 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 101116097 is about 10055.6500038536. The cubic root of 101116097 is about 465.8793196928.

Adding to 101116097 its reverse (790611101), we get a palindrome (891727198).

The spelling of 101116097 in words is "one hundred one million, one hundred sixteen thousand, ninety-seven".