10001101000097 has 2 divisors, whose sum is σ = 10001101000098. Its totient is φ = 10001101000096.

The previous prime is 10001101000087. The next prime is 10001101000103. The reversal of 10001101000097 is 79000010110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9719828816896 + 281272183201 = 3117664^2 + 530351^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001101000097 - 2²⁸ = 10000832564641 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001101000087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550500048 + 5000550500049.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550500049).

Almost surely, 2^{10001101000097} is an apocalyptic number.

It is an amenable number.

10001101000097 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001101000097 is an equidigital number, since it uses as much as digits as its factorization.

10001101000097 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 20.

Adding to 10001101000097 its reverse (79000010110001), we get a palindrome (89001111110098).

The spelling of 10001101000097 in words is "ten trillion, one billion, one hundred one million, ninety-seven", and thus it is an aban number.