1001101003 has 8 divisors (see below), whose sum is σ = 1150730208. Its totient is φ = 853125504.

The previous prime is 1001100983. The next prime is 1001101021. The reversal of 1001101003 is 3001011001.

It is a happy number.

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

It is not a de Polignac number, because 1001101003 - 2²⁵ = 967546571 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001101033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412126 + ... + 414547.

It is an arithmetic number, because the mean of its divisors is an integer number (143841276).

Almost surely, 2^1001101003 is an apocalyptic number.

1001101003 is a deficient number, since it is larger than the sum of its proper divisors (149629205).

1001101003 is an equidigital number, since it uses as much as digits as its factorization.

1001101003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826853.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 1001101003 is about 31640.1801986019. The cubic root of 1001101003 is about 1000.3668663926.

Adding to 1001101003 its reverse (3001011001), we get a palindrome (4002112004).

The spelling of 1001101003 in words is "one billion, one million, one hundred one thousand, three".