810101041 has 2 divisors, whose sum is σ = 810101042. Its totient is φ = 810101040.

The previous prime is 810100981. The next prime is 810101053. The reversal of 810101041 is 140101018.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 791859600 + 18241441 = 28140^2 + 4271^2 .

It is a cyclic number.

It is not a de Polignac number, because 810101041 - 2⁷ = 810100913 is a prime.

It is not a weakly prime, because it can be changed into another prime (810101141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 405050520 + 405050521.

It is an arithmetic number, because the mean of its divisors is an integer number (405050521).

Almost surely, 2^810101041 is an apocalyptic number.

It is an amenable number.

810101041 is a deficient number, since it is larger than the sum of its proper divisors (1).

810101041 is an equidigital number, since it uses as much as digits as its factorization.

810101041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

The square root of 810101041 is about 28462.2739955893. The cubic root of 810101041 is about 932.2085104066.

Adding to 810101041 its reverse (140101018), we get a palindrome (950202059).

The spelling of 810101041 in words is "eight hundred ten million, one hundred one thousand, forty-one".