100113121 has 4 divisors (see below), whose sum is σ = 101031700. Its totient is φ = 99194544.

The previous prime is 100113067. The next prime is 100113173. The reversal of 100113121 is 121311001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 48790225 + 51322896 = 6985^2 + 7164^2 .

It is a cyclic number.

It is not a de Polignac number, because 100113121 - 2¹¹ = 100111073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100113098 and 100113107.

It is not an unprimeable number, because it can be changed into a prime (100113421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 459126 + ... + 459343.

It is an arithmetic number, because the mean of its divisors is an integer number (25257925).

Almost surely, 2^100113121 is an apocalyptic number.

It is an amenable number.

100113121 is a deficient number, since it is larger than the sum of its proper divisors (918579).

100113121 is an equidigital number, since it uses as much as digits as its factorization.

100113121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918578.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 100113121 is about 10005.6544513590. The cubic root of 100113121 is about 464.3338377979. Note that the first 3 decimals are identical.

Adding to 100113121 its reverse (121311001), we get a palindrome (221424122).

The spelling of 100113121 in words is "one hundred million, one hundred thirteen thousand, one hundred twenty-one".