242134310200321 has 64 divisors (see below), whose sum is σ = 310228854276096. Its totient is φ = 183531919348800.

The previous prime is 242134310200291. The next prime is 242134310200351. The reversal of 242134310200321 is 123002013431242.

It is an interprime number because it is at equal distance from previous prime (242134310200291) and next prime (242134310200351).

It is a de Polignac number, because none of the positive numbers 2^k-242134310200321 is a prime.

It is a super-3 number, since 3×242134310200321³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242134310200321.

It is not an unprimeable number, because it can be changed into a prime (242134310200351) 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 63 ways as a sum of consecutive naturals, for example, 891798616 + ... + 892070086.

It is an arithmetic number, because the mean of its divisors is an integer number (4847325848064).

Almost surely, 2^{242134310200321} is an apocalyptic number.

It is an amenable number.

242134310200321 is a deficient number, since it is larger than the sum of its proper divisors (68094544075775).

242134310200321 is a wasteful number, since it uses less digits than its factorization.

242134310200321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273722.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 242134310200321 its reverse (123002013431242), we get a palindrome (365136323631563).

The spelling of 242134310200321 in words is "two hundred forty-two trillion, one hundred thirty-four billion, three hundred ten million, two hundred thousand, three hundred twenty-one".