1001101122097 has 2 divisors, whose sum is σ = 1001101122098. Its totient is φ = 1001101122096.

The previous prime is 1001101122067. The next prime is 1001101122107. The reversal of 1001101122097 is 7902211011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 634832871696 + 366268250401 = 796764^2 + 605201^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001101122097 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001101122067) 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, 500550561048 + 500550561049.

It is an arithmetic number, because the mean of its divisors is an integer number (500550561049).

Almost surely, 2^{1001101122097} is an apocalyptic number.

It is an amenable number.

1001101122097 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001101122097 is an equidigital number, since it uses as much as digits as its factorization.

1001101122097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 25.

Adding to 1001101122097 its reverse (7902211011001), we get a palindrome (8903312133098).

The spelling of 1001101122097 in words is "one trillion, one billion, one hundred one million, one hundred twenty-two thousand, ninety-seven".