2011011002041 has 2 divisors, whose sum is σ = 2011011002042. Its totient is φ = 2011011002040.

The previous prime is 2011011002009. The next prime is 2011011002053. The reversal of 2011011002041 is 1402001101102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1603579005625 + 407431996416 = 1266325^2 + 638304^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011011002041 - 2⁵ = 2011011002009 is a prime.

It is not a weakly prime, because it can be changed into another prime (2011011002081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005505501020 + 1005505501021.

It is an arithmetic number, because the mean of its divisors is an integer number (1005505501021).

Almost surely, 2^{2011011002041} is an apocalyptic number.

It is an amenable number.

2011011002041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011011002041 is an equidigital number, since it uses as much as digits as its factorization.

2011011002041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2011011002041 its reverse (1402001101102), we get a palindrome (3413012103143).

The spelling of 2011011002041 in words is "two trillion, eleven billion, eleven million, two thousand, forty-one".