242112224100 has 36 divisors (see below), whose sum is σ = 700511369264. Its totient is φ = 64563259680.

The previous prime is 242112224087. The next prime is 242112224117. The reversal of 242112224100 is 1422211242.

242112224100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 403520074 + ... + 403520673.

Almost surely, 2^242112224100 is an apocalyptic number.

242112224100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242112224100 is an abundant number, since it is smaller than the sum of its proper divisors (458399145164).

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

242112224100 is a wasteful number, since it uses less digits than its factorization.

242112224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807040764 (or 807040757 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 242112224100 its reverse (1422211242), we get a palindrome (243534435342).

The spelling of 242112224100 in words is "two hundred forty-two billion, one hundred twelve million, two hundred twenty-four thousand, one hundred".