10010101001003 has 2 divisors, whose sum is σ = 10010101001004. Its totient is φ = 10010101001002.

The previous prime is 10010101000997. The next prime is 10010101001009. The reversal of 10010101001003 is 30010010101001.

It is a balanced prime because it is at equal distance from previous prime (10010101000997) and next prime (10010101001009).

It is a cyclic number.

It is not a de Polignac number, because 10010101001003 - 2²⁰ = 10010099952427 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010101001009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005050500501 + 5005050500502.

It is an arithmetic number, because the mean of its divisors is an integer number (5005050500502).

Almost surely, 2^{10010101001003} is an apocalyptic number.

10010101001003 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010101001003 is an equidigital number, since it uses as much as digits as its factorization.

10010101001003 is an evil number, because the sum of its binary digits is even.

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

Adding to 10010101001003 its reverse (30010010101001), we get a palindrome (40020111102004).

The spelling of 10010101001003 in words is "ten trillion, ten billion, one hundred one million, one thousand, three".