102000003003 has 8 divisors (see below), whose sum is σ = 151111115600. Its totient is φ = 68000001984.

The previous prime is 102000002959. The next prime is 102000003013. The reversal of 102000003003 is 300300000201.

It is a happy number.

It is not a de Polignac number, because 102000003003 - 2¹⁷ = 101999871931 is a prime.

It is a super-2 number, since 2×102000003003² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102000003013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1888888918 + ... + 1888888971.

It is an arithmetic number, because the mean of its divisors is an integer number (18888889450).

Almost surely, 2^102000003003 is an apocalyptic number.

102000003003 is a deficient number, since it is larger than the sum of its proper divisors (49111112597).

102000003003 is an equidigital number, since it uses as much as digits as its factorization.

102000003003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777777898 (or 3777777892 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 102000003003 its reverse (300300000201), we get a palindrome (402300003204).

The spelling of 102000003003 in words is "one hundred two billion, three thousand, three".