101003010003 has 48 divisors (see below), whose sum is σ = 172197881856. Its totient is φ = 55826876160.

The previous prime is 101003009999. The next prime is 101003010019. The reversal of 101003010003 is 300010300101.

It is not a de Polignac number, because 101003010003 - 2² = 101003009999 is a prime.

It is a super-2 number, since 2×101003010003² (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 not an unprimeable number, because it can be changed into a prime (101003010023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4369051 + ... + 4392107.

It is an arithmetic number, because the mean of its divisors is an integer number (3587455872).

Almost surely, 2^101003010003 is an apocalyptic number.

101003010003 is a deficient number, since it is larger than the sum of its proper divisors (71194871853).

101003010003 is a wasteful number, since it uses less digits than its factorization.

101003010003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25344 (or 25341 counting only the distinct ones).

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

Adding to 101003010003 its reverse (300010300101), we get a palindrome (401013310104).

The spelling of 101003010003 in words is "one hundred one billion, three million, ten thousand, three".