242100022112401 has 8 divisors (see below), whose sum is σ = 246668211308160. Its totient is φ = 237531842703792.

The previous prime is 242100022112359. The next prime is 242100022112407. The reversal of 242100022112401 is 104211220001242.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 242100022112401 - 2²⁹ = 242099485241489 is a prime.

It is a super-4 number, since 4×242100022112401⁴ (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242100022112407) 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, 64731210 + ... + 68369068.

It is an arithmetic number, because the mean of its divisors is an integer number (30833526413520).

Almost surely, 2^{242100022112401} is an apocalyptic number.

It is an amenable number.

242100022112401 is a deficient number, since it is larger than the sum of its proper divisors (4568189195759).

242100022112401 is a wasteful number, since it uses less digits than its factorization.

242100022112401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4893575.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 242100022112401 its reverse (104211220001242), we get a palindrome (346311242113643).

The spelling of 242100022112401 in words is "two hundred forty-two trillion, one hundred billion, twenty-two million, one hundred twelve thousand, four hundred one".