101010003 has 8 divisors (see below), whose sum is σ = 137545728. Its totient is φ = 65907144.

The previous prime is 101009983. The next prime is 101010031. The reversal of 101010003 is 300010101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101010003 - 2⁸ = 101009747 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101009973 and 101010000.

It is not an unprimeable number, because it can be changed into a prime (101014003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358051 + ... + 358332.

It is an arithmetic number, because the mean of its divisors is an integer number (17193216).

Almost surely, 2^101010003 is an apocalyptic number.

101010003 is a deficient number, since it is larger than the sum of its proper divisors (36535725).

101010003 is an equidigital number, since it uses as much as digits as its factorization.

101010003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716433.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 101010003 is about 10050.3732766500. The cubic root of 101010003 is about 465.7163245521.

Adding to 101010003 its reverse (300010101), we get a palindrome (401020104).

The spelling of 101010003 in words is "one hundred one million, ten thousand, three".