101000100010003 has 8 divisors (see below), whose sum is σ = 101018079700272. Its totient is φ = 100982121543456.

The previous prime is 101000100009979. The next prime is 101000100010039. The reversal of 101000100010003 is 300010001000101.

It is a happy number.

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 101000100010003 - 2²⁵ = 101000066455571 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000100020003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173479876 + ... + 174061102.

It is an arithmetic number, because the mean of its divisors is an integer number (12627259962534).

Almost surely, 2^{101000100010003} is an apocalyptic number.

101000100010003 is a deficient number, since it is larger than the sum of its proper divisors (17979690269).

101000100010003 is an equidigital number, since it uses as much as digits as its factorization.

101000100010003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611861.

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

Adding to 101000100010003 its reverse (300010001000101), we get a palindrome (401010101010104).

The spelling of 101000100010003 in words is "one hundred one trillion, one hundred million, ten thousand, three".