101010111000041 has 2 divisors, whose sum is σ = 101010111000042. Its totient is φ = 101010111000040.

The previous prime is 101010110999951. The next prime is 101010111000067. The reversal of 101010111000041 is 140000111010101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70297677065641 + 30712433934400 = 8384371^2 + 5541880^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010111000041 - 2¹⁸ = 101010110737897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101010110999986 and 101010111000031.

It is not a weakly prime, because it can be changed into another prime (101010111000091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505055500020 + 50505055500021.

It is an arithmetic number, because the mean of its divisors is an integer number (50505055500021).

Almost surely, 2^{101010111000041} is an apocalyptic number.

It is an amenable number.

101010111000041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010111000041 is an equidigital number, since it uses as much as digits as its factorization.

101010111000041 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 101010111000041 its reverse (140000111010101), we get a palindrome (241010222010142).

The spelling of 101010111000041 in words is "one hundred one trillion, ten billion, one hundred eleven million, forty-one", and thus it is an aban number.