100201003 has 32 divisors (see below), whose sum is σ = 126604800. Its totient is φ = 77366016.

The previous prime is 100200967. The next prime is 100201037. The reversal of 100201003 is 300102001.

It is not a de Polignac number, because 100201003 - 2¹³ = 100192811 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (100201063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319975 + ... + 320287.

It is an arithmetic number, because the mean of its divisors is an integer number (3956400).

Almost surely, 2^100201003 is an apocalyptic number.

100201003 is a deficient number, since it is larger than the sum of its proper divisors (26403797).

100201003 is a wasteful number, since it uses less digits than its factorization.

100201003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451.

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

The square root of 100201003 is about 10010.0451047935. The cubic root of 100201003 is about 464.4696663199.

Adding to 100201003 its reverse (300102001), we get a palindrome (400303004).

The spelling of 100201003 in words is "one hundred million, two hundred one thousand, three".