1005010100011 has 2 divisors, whose sum is σ = 1005010100012. Its totient is φ = 1005010100010.

The previous prime is 1005010099993. The next prime is 1005010100047. The reversal of 1005010100011 is 1100010105001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1005010100011 - 2¹³ = 1005010091819 is a prime.

It is a super-2 number, since 2×1005010100011² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005010100051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502505050005 + 502505050006.

It is an arithmetic number, because the mean of its divisors is an integer number (502505050006).

Almost surely, 2^{1005010100011} is an apocalyptic number.

1005010100011 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005010100011 is an equidigital number, since it uses as much as digits as its factorization.

1005010100011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5, while the sum is 10.

Adding to 1005010100011 its reverse (1100010105001), we get a palindrome (2105020205012).

The spelling of 1005010100011 in words is "one trillion, five billion, ten million, one hundred thousand, eleven".