1011000110041 has 2 divisors, whose sum is σ = 1011000110042. Its totient is φ = 1011000110040.

The previous prime is 1011000110023. The next prime is 1011000110101. The reversal of 1011000110041 is 1400110001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 788551104016 + 222449006025 = 888004^2 + 471645^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011000110041 - 2²⁵ = 1010966555609 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011000114041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505500055020 + 505500055021.

It is an arithmetic number, because the mean of its divisors is an integer number (505500055021).

Almost surely, 2^{1011000110041} is an apocalyptic number.

It is an amenable number.

1011000110041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011000110041 is an equidigital number, since it uses as much as digits as its factorization.

1011000110041 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 1011000110041 its reverse (1400110001101), we get a palindrome (2411110111142).

The spelling of 1011000110041 in words is "one trillion, eleven billion, one hundred ten thousand, forty-one".