100301521005114 has 128 divisors (see below), whose sum is σ = 240527306234880. Its totient is φ = 27483214809600.

The previous prime is 100301521005001. The next prime is 100301521005139. The reversal of 100301521005114 is 411500125103001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5416254 + ... + 15163734.

It is an arithmetic number, because the mean of its divisors is an integer number (1879119579960).

Almost surely, 2^{100301521005114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100301521005114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120263653117440).

100301521005114 is an abundant number, since it is smaller than the sum of its proper divisors (140225785229766).

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

100301521005114 is a wasteful number, since it uses less digits than its factorization.

100301521005114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9747756.

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 100301521005114 its reverse (411500125103001), we get a palindrome (511801646108115).

The spelling of 100301521005114 in words is "one hundred trillion, three hundred one billion, five hundred twenty-one million, five thousand, one hundred fourteen".