1005111110021 has 2 divisors, whose sum is σ = 1005111110022. Its totient is φ = 1005111110020.

The previous prime is 1005111109931. The next prime is 1005111110027. The reversal of 1005111110021 is 1200111115001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 586778980225 + 418332129796 = 766015^2 + 646786^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005111110021 - 2¹⁰ = 1005111108997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005111109978 and 1005111110005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005111110027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502555555010 + 502555555011.

It is an arithmetic number, because the mean of its divisors is an integer number (502555555011).

Almost surely, 2^{1005111110021} is an apocalyptic number.

It is an amenable number.

1005111110021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005111110021 is an equidigital number, since it uses as much as digits as its factorization.

1005111110021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10, while the sum is 14.

Adding to 1005111110021 its reverse (1200111115001), we get a palindrome (2205222225022).

The spelling of 1005111110021 in words is "one trillion, five billion, one hundred eleven million, one hundred ten thousand, twenty-one".