100100001110113 has 32 divisors (see below), whose sum is σ = 103949770752000. Its totient is φ = 96343678005120.

The previous prime is 100100001110111. The next prime is 100100001110147. The reversal of 100100001110113 is 311011100001001.

It is a cyclic number.

It is not a de Polignac number, because 100100001110113 - 2¹ = 100100001110111 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100100001110113.

It is not an unprimeable number, because it can be changed into a prime (100100001110111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1190363373 + ... + 1190447461.

It is an arithmetic number, because the mean of its divisors is an integer number (3248430336000).

Almost surely, 2^{100100001110113} is an apocalyptic number.

It is an amenable number.

100100001110113 is a deficient number, since it is larger than the sum of its proper divisors (3849769641887).

100100001110113 is a wasteful number, since it uses less digits than its factorization.

100100001110113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86365.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 100100001110113 its reverse (311011100001001), we get a palindrome (411111101111114).

The spelling of 100100001110113 in words is "one hundred trillion, one hundred billion, one million, one hundred ten thousand, one hundred thirteen".