100122303213 has 24 divisors (see below), whose sum is σ = 147071932280. Its totient is φ = 65618242560.

The previous prime is 100122303209. The next prime is 100122303223. The reversal of 100122303213 is 312303221001.

100122303213 is a `hidden beast` number, since 100 + 12 + 230 + 321 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2429799849 + 97692503364 = 49293^2 + 312558^2 .

It is not a de Polignac number, because 100122303213 - 2² = 100122303209 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122303223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979593 + ... + 1076961.

Almost surely, 2^100122303213 is an apocalyptic number.

It is an amenable number.

100122303213 is a deficient number, since it is larger than the sum of its proper divisors (46949629067).

100122303213 is a wasteful number, since it uses less digits than its factorization.

100122303213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99309 (or 99306 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100122303213 its reverse (312303221001), we get a palindrome (412425524214).

The spelling of 100122303213 in words is "one hundred billion, one hundred twenty-two million, three hundred three thousand, two hundred thirteen".