10001010101003 has 2 divisors, whose sum is σ = 10001010101004. Its totient is φ = 10001010101002.

The previous prime is 10001010100999. The next prime is 10001010101009. The reversal of 10001010101003 is 30010101010001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10001010101003 - 2² = 10001010100999 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001010101009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000505050501 + 5000505050502.

It is an arithmetic number, because the mean of its divisors is an integer number (5000505050502).

Almost surely, 2^{10001010101003} is an apocalyptic number.

10001010101003 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001010101003 is an equidigital number, since it uses as much as digits as its factorization.

10001010101003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10001010101003 its reverse (30010101010001), we get a palindrome (40011111111004).

The spelling of 10001010101003 in words is "ten trillion, one billion, ten million, one hundred one thousand, three".