242101320042144 has 48 divisors (see below), whose sum is σ = 639027103085280. Its totient is φ = 80254581223680.

The previous prime is 242101320042143. The next prime is 242101320042173. The reversal of 242101320042144 is 441240023101242.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×242101320042144² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242101320042143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6966526134 + ... + 6966560885.

It is an arithmetic number, because the mean of its divisors is an integer number (13313064647610).

Almost surely, 2^{242101320042144} is an apocalyptic number.

242101320042144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242101320042144 is an abundant number, since it is smaller than the sum of its proper divisors (396925783043136).

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

242101320042144 is a wasteful number, since it uses less digits than its factorization.

242101320042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13933087213 (or 13933087205 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 242101320042144 its reverse (441240023101242), we get a palindrome (683341343143386).

The spelling of 242101320042144 in words is "two hundred forty-two trillion, one hundred one billion, three hundred twenty million, forty-two thousand, one hundred forty-four".