101101001003 has 8 divisors (see below), whose sum is σ = 105053469696. Its totient is φ = 97191729000.

The previous prime is 101101000991. The next prime is 101101001033. The reversal of 101101001003 is 300100101101.

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

It is a cyclic number.

It is not a de Polignac number, because 101101001003 - 2²⁶ = 101033892139 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101001033) 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, 10794401 + ... + 10803762.

It is an arithmetic number, because the mean of its divisors is an integer number (13131683712).

Almost surely, 2^101101001003 is an apocalyptic number.

101101001003 is a deficient number, since it is larger than the sum of its proper divisors (3952468693).

101101001003 is a wasteful number, since it uses less digits than its factorization.

101101001003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21598345.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 101101001003 its reverse (300100101101), we get a palindrome (401201102104).

The spelling of 101101001003 in words is "one hundred one billion, one hundred one million, one thousand, three".