101010110041 has 2 divisors, whose sum is σ = 101010110042. Its totient is φ = 101010110040.

The previous prime is 101010110011. The next prime is 101010110051. The reversal of 101010110041 is 140011010101.

It is an a-pointer prime, because the next prime (101010110051) can be obtained adding 101010110041 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75122587225 + 25887522816 = 274085^2 + 160896^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101010110041 is a prime.

It is not a weakly prime, because it can be changed into another prime (101010110011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505055020 + 50505055021.

It is an arithmetic number, because the mean of its divisors is an integer number (50505055021).

Almost surely, 2^101010110041 is an apocalyptic number.

It is an amenable number.

101010110041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010110041 is an equidigital number, since it uses as much as digits as its factorization.

101010110041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101010110041 its reverse (140011010101), we get a palindrome (241021120142).

The spelling of 101010110041 in words is "one hundred one billion, ten million, one hundred ten thousand, forty-one".