1001101110091 has 2 divisors, whose sum is σ = 1001101110092. Its totient is φ = 1001101110090.

The previous prime is 1001101110077. The next prime is 1001101110131. The reversal of 1001101110091 is 1900111011001.

1001101110091 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1001101110091 - 2¹¹ = 1001101108043 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001101210091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550555045 + 500550555046.

It is an arithmetic number, because the mean of its divisors is an integer number (500550555046).

Almost surely, 2^{1001101110091} is an apocalyptic number.

1001101110091 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001101110091 is an equidigital number, since it uses as much as digits as its factorization.

1001101110091 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 16.

Adding to 1001101110091 its reverse (1900111011001), we get a palindrome (2901212121092).

The spelling of 1001101110091 in words is "one trillion, one billion, one hundred one million, one hundred ten thousand, ninety-one".