2011011002291 has 2 divisors, whose sum is σ = 2011011002292. Its totient is φ = 2011011002290.

The previous prime is 2011011002257. The next prime is 2011011002293. The reversal of 2011011002291 is 1922001101102.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011011002291 is a prime.

Together with 2011011002293, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2011011002293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005505501145 + 1005505501146.

It is an arithmetic number, because the mean of its divisors is an integer number (1005505501146).

Almost surely, 2^{2011011002291} is an apocalyptic number.

2011011002291 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011011002291 is an equidigital number, since it uses as much as digits as its factorization.

2011011002291 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 2011011002291 its reverse (1922001101102), we get a palindrome (3933012103393).

The spelling of 2011011002291 in words is "two trillion, eleven billion, eleven million, two thousand, two hundred ninety-one".