242221343100 has 288 divisors, whose sum is σ = 812638987776. Its totient is φ = 55052697600.

The previous prime is 242221343099. The next prime is 242221343107. The reversal of 242221343100 is 1343122242.

It is a happy number.

It is a super-2 number, since 2×242221343100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242221343107) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 14746092 + ... + 14762508.

It is an arithmetic number, because the mean of its divisors is an integer number (2821663152).

Almost surely, 2^242221343100 is an apocalyptic number.

242221343100 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 242221343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406319493888).

242221343100 is an abundant number, since it is smaller than the sum of its proper divisors (570417644676).

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

242221343100 is a wasteful number, since it uses less digits than its factorization.

242221343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16725 (or 16718 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 242221343100 its reverse (1343122242), we get a palindrome (243564465342).

The spelling of 242221343100 in words is "two hundred forty-two billion, two hundred twenty-one million, three hundred forty-three thousand, one hundred".