100601134062324 has 768 divisors, whose sum is σ = 311258426572800. Its totient is φ = 24599091585024.

The previous prime is 100601134062301. The next prime is 100601134062337. The reversal of 100601134062324 is 423260431106001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22744997577 + ... + 22745001999.

It is an arithmetic number, because the mean of its divisors is an integer number (405284409600).

Almost surely, 2^{100601134062324} is an apocalyptic number.

100601134062324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100601134062324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155629213286400).

100601134062324 is an abundant number, since it is smaller than the sum of its proper divisors (210657292510476).

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

100601134062324 is a wasteful number, since it uses less digits than its factorization.

100601134062324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 100601134062324 its reverse (423260431106001), we get a palindrome (523861565168325).

The spelling of 100601134062324 in words is "one hundred trillion, six hundred one billion, one hundred thirty-four million, sixty-two thousand, three hundred twenty-four".