242121012100 has 144 divisors (see below), whose sum is σ = 586065739392. Its totient is φ = 86800560000.

The previous prime is 242121012047. The next prime is 242121012103. The reversal of 242121012100 is 1210121242.

242121012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242121012103) 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 47 ways as a sum of consecutive naturals, for example, 9437290 + ... + 9462910.

It is an arithmetic number, because the mean of its divisors is an integer number (4069900968).

Almost surely, 2^242121012100 is an apocalyptic number.

242121012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242121012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293032869696).

242121012100 is an abundant number, since it is smaller than the sum of its proper divisors (343944727292).

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

242121012100 is a wasteful number, since it uses less digits than its factorization.

242121012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25739 (or 25710 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 242121012100 its reverse (1210121242), we get a palindrome (243331133342).

The spelling of 242121012100 in words is "two hundred forty-two billion, one hundred twenty-one million, twelve thousand, one hundred".