100100000111003 has 16 divisors (see below), whose sum is σ = 102551448923136. Its totient is φ = 97679156930880.

The previous prime is 100100000110991. The next prime is 100100000111077. The reversal of 100100000111003 is 300111000001001.

It is a cyclic number.

It is not a de Polignac number, because 100100000111003 - 2²⁴ = 100099983333787 is a prime.

It is a super-2 number, since 2×100100000111003² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100000111603) 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, 2406575 + ... + 14352407.

It is an arithmetic number, because the mean of its divisors is an integer number (6409465557696).

Almost surely, 2^{100100000111003} is an apocalyptic number.

100100000111003 is a deficient number, since it is larger than the sum of its proper divisors (2451448812133).

100100000111003 is a wasteful number, since it uses less digits than its factorization.

100100000111003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11947114.

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

Adding to 100100000111003 its reverse (300111000001001), we get a palindrome (400211000112004).

The spelling of 100100000111003 in words is "one hundred trillion, one hundred billion, one hundred eleven thousand, three".