10020100003 has 16 divisors (see below), whose sum is σ = 10371981312. Its totient is φ = 9673768000.

The previous prime is 10020099959. The next prime is 10020100019. The reversal of 10020100003 is 30000102001.

It is a cyclic number.

It is not a de Polignac number, because 10020100003 - 2⁹ = 10020099491 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10020100063) 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 in 15 ways as a sum of consecutive naturals, for example, 2054658 + ... + 2059528.

It is an arithmetic number, because the mean of its divisors is an integer number (648248832).

Almost surely, 2^10020100003 is an apocalyptic number.

10020100003 is a deficient number, since it is larger than the sum of its proper divisors (351881309).

10020100003 is a wasteful number, since it uses less digits than its factorization.

10020100003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5426.

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 10020100003 its reverse (30000102001), we get a palindrome (40020202004).

The spelling of 10020100003 in words is "ten billion, twenty million, one hundred thousand, three".