100312211131103 has 32 divisors (see below), whose sum is σ = 105620287073280. Its totient is φ = 95085657596160.

The previous prime is 100312211131091. The next prime is 100312211131123. The reversal of 100312211131103 is 301131112213001.

It is not a de Polignac number, because 100312211131103 - 2²⁸ = 100311942695647 is a prime.

It is a super-2 number, since 2×100312211131103² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100312211131123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9080487926 + ... + 9080498972.

It is an arithmetic number, because the mean of its divisors is an integer number (3300633971040).

Almost surely, 2^{100312211131103} is an apocalyptic number.

100312211131103 is a deficient number, since it is larger than the sum of its proper divisors (5308075942177).

100312211131103 is a wasteful number, since it uses less digits than its factorization.

100312211131103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16167.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 100312211131103 its reverse (301131112213001), we get a palindrome (401443323344104).

The spelling of 100312211131103 in words is "one hundred trillion, three hundred twelve billion, two hundred eleven million, one hundred thirty-one thousand, one hundred three".