1100101002097 has 2 divisors, whose sum is σ = 1100101002098. Its totient is φ = 1100101002096.

The previous prime is 1100101002071. The next prime is 1100101002107. The reversal of 1100101002097 is 7902001010011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1099528405056 + 572597041 = 1048584^2 + 23929^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1100101002097 is a prime.

It is not a weakly prime, because it can be changed into another prime (1100101002017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550050501048 + 550050501049.

It is an arithmetic number, because the mean of its divisors is an integer number (550050501049).

Almost surely, 2^{1100101002097} is an apocalyptic number.

It is an amenable number.

1100101002097 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100101002097 is an equidigital number, since it uses as much as digits as its factorization.

1100101002097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 22.

The spelling of 1100101002097 in words is "one trillion, one hundred billion, one hundred one million, two thousand, ninety-seven".