101010010110041 has 2 divisors, whose sum is σ = 101010010110042. Its totient is φ = 101010010110040.

The previous prime is 101010010110007. The next prime is 101010010110137. The reversal of 101010010110041 is 140011010010101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101000490010000 + 9520100041 = 10049900^2 + 97571^2 .

It is an emirp because it is prime and its reverse (140011010010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101010010110041 - 2³⁴ = 100992830240857 is a prime.

It is not a weakly prime, because it can be changed into another prime (101010010110641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505005055020 + 50505005055021.

It is an arithmetic number, because the mean of its divisors is an integer number (50505005055021).

Almost surely, 2^{101010010110041} is an apocalyptic number.

It is an amenable number.

101010010110041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010010110041 is an equidigital number, since it uses as much as digits as its factorization.

101010010110041 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 11.

Adding to 101010010110041 its reverse (140011010010101), we get a palindrome (241021020120142).

The spelling of 101010010110041 in words is "one hundred one trillion, ten billion, ten million, one hundred ten thousand, forty-one".