101111110000097 has 2 divisors, whose sum is σ = 101111110000098. Its totient is φ = 101111110000096.

The previous prime is 101111110000093. The next prime is 101111110000163. The reversal of 101111110000097 is 790000011111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100790435829136 + 320674170961 = 10039444^2 + 566281^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111110000097 - 2² = 101111110000093 is a prime.

It is not a weakly prime, because it can be changed into another prime (101111110000093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555555000048 + 50555555000049.

It is an arithmetic number, because the mean of its divisors is an integer number (50555555000049).

Almost surely, 2^{101111110000097} is an apocalyptic number.

It is an amenable number.

101111110000097 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111110000097 is an equidigital number, since it uses as much as digits as its factorization.

101111110000097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 23.

Adding to 101111110000097 its reverse (790000011111101), we get a palindrome (891111121111198).

The spelling of 101111110000097 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, ninety-seven", and thus it is an aban number.