100313122122 has 12 divisors (see below), whose sum is σ = 217345097970. Its totient is φ = 33437707368.

The previous prime is 100313122111. The next prime is 100313122183. The reversal of 100313122122 is 221221313001.

100313122122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 87492315681 + 12820806441 = 295791^2 + 113229^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5572951229 = 100313122122 / (1 + 0 + 0 + 3 + 1 + 3 + 1 + 2 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 100313122095 and 100313122104.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2786475597 + ... + 2786475632.

Almost surely, 2^100313122122 is an apocalyptic number.

100313122122 is an abundant number, since it is smaller than the sum of its proper divisors (117031975848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100313122122 is a wasteful number, since it uses less digits than its factorization.

100313122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5572951237 (or 5572951234 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100313122122 its reverse (221221313001), we get a palindrome (321534435123).

The spelling of 100313122122 in words is "one hundred billion, three hundred thirteen million, one hundred twenty-two thousand, one hundred twenty-two".