1101101110097 has 2 divisors, whose sum is σ = 1101101110098. Its totient is φ = 1101101110096.

The previous prime is 1101101110051. The next prime is 1101101110099. The reversal of 1101101110097 is 7900111011011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 924041935441 + 177059174656 = 961271^2 + 420784^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1101101110097 is a prime.

Together with 1101101110099, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1101101110099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550550555048 + 550550555049.

It is an arithmetic number, because the mean of its divisors is an integer number (550550555049).

Almost surely, 2^{1101101110097} is an apocalyptic number.

It is an amenable number.

1101101110097 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101101110097 is an equidigital number, since it uses as much as digits as its factorization.

1101101110097 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.

The spelling of 1101101110097 in words is "one trillion, one hundred one billion, one hundred one million, one hundred ten thousand, ninety-seven".