1001110111291 has 2 divisors, whose sum is σ = 1001110111292. Its totient is φ = 1001110111290.

The previous prime is 1001110111289. The next prime is 1001110111303. The reversal of 1001110111291 is 1921110111001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1001110111291 - 2¹ = 1001110111289 is a prime.

Together with 1001110111289, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1001110111091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500555055645 + 500555055646.

It is an arithmetic number, because the mean of its divisors is an integer number (500555055646).

Almost surely, 2^{1001110111291} is an apocalyptic number.

1001110111291 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001110111291 is an equidigital number, since it uses as much as digits as its factorization.

1001110111291 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 19.

Adding to 1001110111291 its reverse (1921110111001), we get a palindrome (2922220222292).

The spelling of 1001110111291 in words is "one trillion, one billion, one hundred ten million, one hundred eleven thousand, two hundred ninety-one".