101000001001003 has 16 divisors (see below), whose sum is σ = 112986782647200. Its totient is φ = 89642405905920.

The previous prime is 101000001000979. The next prime is 101000001001019. The reversal of 101000001001003 is 300100100000101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101000001001003 - 2²⁵ = 100999967446571 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000001001033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555727633 + ... + 555909346.

It is an arithmetic number, because the mean of its divisors is an integer number (7061673915450).

Almost surely, 2^{101000001001003} is an apocalyptic number.

101000001001003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101000001001003 is a deficient number, since it is larger than the sum of its proper divisors (11986781646197).

101000001001003 is a wasteful number, since it uses less digits than its factorization.

101000001001003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111637262.

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

Adding to 101000001001003 its reverse (300100100000101), we get a palindrome (401100101001104).

The spelling of 101000001001003 in words is "one hundred one trillion, one million, one thousand, three".