100221003 has 16 divisors (see below), whose sum is σ = 151930240. Its totient is φ = 65259432.

The previous prime is 100220993. The next prime is 100221019. The reversal of 100221003 is 300122001.

It is a happy number.

It is not a de Polignac number, because 100221003 - 2⁵ = 100220971 is a prime.

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 (100221073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42001 + ... + 44322.

It is an arithmetic number, because the mean of its divisors is an integer number (9495640).

Almost surely, 2^100221003 is an apocalyptic number.

100221003 is a deficient number, since it is larger than the sum of its proper divisors (51709237).

100221003 is an equidigital number, since it uses as much as digits as its factorization.

100221003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86375 (or 86369 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100221003 is about 10011.0440514464. The cubic root of 100221003 is about 464.5005667935.

Adding to 100221003 its reverse (300122001), we get a palindrome (400343004).

It can be divided in two parts, 10022 and 1003, that added together give a square (11025 = 105²).

The spelling of 100221003 in words is "one hundred million, two hundred twenty-one thousand, three".