100300210010113 has 32 divisors (see below), whose sum is σ = 103353660748800. Its totient is φ = 97282121864256.

The previous prime is 100300210010089. The next prime is 100300210010173. The reversal of 100300210010113 is 311010012003001.

It is a cyclic number.

It is not a de Polignac number, because 100300210010113 - 2²⁵ = 100300176455681 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100300210010093 and 100300210010102.

It is not an unprimeable number, because it can be changed into a prime (100300210010173) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6052016695 + ... + 6052033267.

It is an arithmetic number, because the mean of its divisors is an integer number (3229801898400).

Almost surely, 2^{100300210010113} is an apocalyptic number.

It is an amenable number.

100300210010113 is a deficient number, since it is larger than the sum of its proper divisors (3053450738687).

100300210010113 is a wasteful number, since it uses less digits than its factorization.

100300210010113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18421.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100300210010113 its reverse (311010012003001), we get a palindrome (411310222013114).

The spelling of 100300210010113 in words is "one hundred trillion, three hundred billion, two hundred ten million, ten thousand, one hundred thirteen".