100130242340224 has 64 divisors (see below), whose sum is σ = 205037871917760. Its totient is φ = 48671980683264.

The previous prime is 100130242340209. The next prime is 100130242340251. The reversal of 100130242340224 is 422043242031001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×100130242340224³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 100130242340192 and 100130242340201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2922552 + ... + 14449975.

It is an arithmetic number, because the mean of its divisors is an integer number (3203716748715).

Almost surely, 2^{100130242340224} is an apocalyptic number.

It is an amenable number.

100130242340224 is an abundant number, since it is smaller than the sum of its proper divisors (104907629577536).

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

100130242340224 is a wasteful number, since it uses less digits than its factorization.

100130242340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17373795 (or 17373783 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 100130242340224 its reverse (422043242031001), we get a palindrome (522173484371225).

The spelling of 100130242340224 in words is "one hundred trillion, one hundred thirty billion, two hundred forty-two million, three hundred forty thousand, two hundred twenty-four".