101000001011003 has 8 divisors (see below), whose sum is σ = 106944003840672. Its totient is φ = 95056312214656.

The previous prime is 101000001010991. The next prime is 101000001011017. The reversal of 101000001011003 is 300110100000101.

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 101000001011003 - 2⁶ = 101000001010939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000001011083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77846000 + ... + 79132797.

It is an arithmetic number, because the mean of its divisors is an integer number (13368000480084).

Almost surely, 2^{101000001011003} is an apocalyptic number.

101000001011003 is a deficient number, since it is larger than the sum of its proper divisors (5944002829669).

101000001011003 is a wasteful number, since it uses less digits than its factorization.

101000001011003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157016661.

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

Adding to 101000001011003 its reverse (300110100000101), we get a palindrome (401110101011104).

The spelling of 101000001011003 in words is "one hundred one trillion, one million, eleven thousand, three".