2001101110097 has 2 divisors, whose sum is σ = 2001101110098. Its totient is φ = 2001101110096.

The previous prime is 2001101110079. The next prime is 2001101110147. The reversal of 2001101110097 is 7900111011002.

It is a happy number.

Together with previous prime (2001101110079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2000982822721 + 118287376 = 1414561^2 + 10876^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001101110097 - 2⁶ = 2001101110033 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001101110397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000550555048 + 1000550555049.

It is an arithmetic number, because the mean of its divisors is an integer number (1000550555049).

Almost surely, 2^{2001101110097} is an apocalyptic number.

It is an amenable number.

2001101110097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001101110097 is an equidigital number, since it uses as much as digits as its factorization.

2001101110097 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 23.

Adding to 2001101110097 its reverse (7900111011002), we get a palindrome (9901212121099).

The spelling of 2001101110097 in words is "two trillion, one billion, one hundred one million, one hundred ten thousand, ninety-seven".