110100101001097 has 2 divisors, whose sum is σ = 110100101001098. Its totient is φ = 110100101001096.

The previous prime is 110100101001089. The next prime is 110100101001227. The reversal of 110100101001097 is 790100101001011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101466517617481 + 8633583383616 = 10073059^2 + 2938296^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100101001097 - 2³ = 110100101001089 is a prime.

It is not a weakly prime, because it can be changed into another prime (110100101001067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050050500548 + 55050050500549.

It is an arithmetic number, because the mean of its divisors is an integer number (55050050500549).

Almost surely, 2^{110100101001097} is an apocalyptic number.

It is an amenable number.

110100101001097 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100101001097 is an equidigital number, since it uses as much as digits as its factorization.

110100101001097 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 22.

The spelling of 110100101001097 in words is "one hundred ten trillion, one hundred billion, one hundred one million, one thousand, ninety-seven".