100123222120 has 32 divisors (see below), whose sum is σ = 225341620200. Its totient is φ = 40037845248.

The previous prime is 100123222103. The next prime is 100123222127. The reversal of 100123222120 is 21222321001.

It is a happy number.

100123222120 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 4 ways, for example, as 72402970084 + 27720252036 = 269078^2 + 166494^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100123222094 and 100123222103.

It is not an unprimeable number, because it can be changed into a prime (100123222127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215175 + ... + 496534.

Almost surely, 2^100123222120 is an apocalyptic number.

100123222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100123222120 is an abundant number, since it is smaller than the sum of its proper divisors (125218398080).

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

100123222120 is a wasteful number, since it uses less digits than its factorization.

100123222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715237 (or 715233 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100123222120 its reverse (21222321001), we get a palindrome (121345543121).

The spelling of 100123222120 in words is "one hundred billion, one hundred twenty-three million, two hundred twenty-two thousand, one hundred twenty".