242102444100 has 576 divisors, whose sum is σ = 837213081600. Its totient is φ = 53374464000.

The previous prime is 242102444099. The next prime is 242102444107. The reversal of 242102444100 is 1444201242.

242102444100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242102444100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242102444107) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 183271440 + ... + 183272760.

Almost surely, 2^242102444100 is an apocalyptic number.

242102444100 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 242102444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418606540800).

242102444100 is an abundant number, since it is smaller than the sum of its proper divisors (595110637500).

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

242102444100 is a wasteful number, since it uses less digits than its factorization.

242102444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 242102444100 its reverse (1444201242), we get a palindrome (243546645342).

The spelling of 242102444100 in words is "two hundred forty-two billion, one hundred two million, four hundred forty-four thousand, one hundred".