242044123232100 has 144 divisors (see below), whose sum is σ = 805730773680000. Its totient is φ = 54953066449920.

The previous prime is 242044123232083. The next prime is 242044123232111. The reversal of 242044123232100 is 1232321440242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386462625 + ... + 387088424.

It is an arithmetic number, because the mean of its divisors is an integer number (5595352595000).

Almost surely, 2^{242044123232100} is an apocalyptic number.

242044123232100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242044123232100 is an abundant number, since it is smaller than the sum of its proper divisors (563686650447900).

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

242044123232100 is a wasteful number, since it uses less digits than its factorization.

242044123232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773551222 (or 773551215 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 242044123232100 its reverse (1232321440242), we get a palindrome (243276444672342).

The spelling of 242044123232100 in words is "two hundred forty-two trillion, forty-four billion, one hundred twenty-three million, two hundred thirty-two thousand, one hundred".