242014300010100 has 432 divisors, whose sum is σ = 795520643347248. Its totient is φ = 61480574484480.

The previous prime is 242014300010039. The next prime is 242014300010129. The reversal of 242014300010100 is 1010003410242.

242014300010100 is a `hidden beast` number, since 2 + 420 + 143 + 0 + 0 + 0 + 1 + 0 + 100 = 666.

242014300010100 is digitally balanced in base 2, 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 24 ways, for example, as 167793524948196 + 74220775061904 = 12953514^2 + 8615148^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 332669952 + ... + 333396648.

Almost surely, 2^{242014300010100} is an apocalyptic number.

242014300010100 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 242014300010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397760321673624).

242014300010100 is an abundant number, since it is smaller than the sum of its proper divisors (553506343337148).

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

242014300010100 is a wasteful number, since it uses less digits than its factorization.

242014300010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726964 (or 726954 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 242014300010100 its reverse (1010003410242), we get a palindrome (243024303420342).

The spelling of 242014300010100 in words is "two hundred forty-two trillion, fourteen billion, three hundred million, ten thousand, one hundred".