242100021000420 has 192 divisors, whose sum is σ = 833936573030400. Its totient is φ = 57814930293120.

The previous prime is 242100021000407. The next prime is 242100021000449. The reversal of 242100021000420 is 24000120001242.

242100021000420 is a `hidden beast` number, since 2 + 42 + 100 + 0 + 2 + 100 + 0 + 420 = 666.

It is a super-3 number, since 3×242100021000420³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 242100021000393 and 242100021000402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 303763060 + ... + 304559019.

It is an arithmetic number, because the mean of its divisors is an integer number (4343419651200).

Almost surely, 2^{242100021000420} is an apocalyptic number.

242100021000420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242100021000420 is an abundant number, since it is smaller than the sum of its proper divisors (591836552029980).

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

242100021000420 is a wasteful number, since it uses less digits than its factorization.

242100021000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608322175 (or 608322167 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 242100021000420 its reverse (24000120001242), we get a palindrome (266100141001662).

The spelling of 242100021000420 in words is "two hundred forty-two trillion, one hundred billion, twenty-one million, four hundred twenty", and thus it is an aban number.