100100110113 has 6 divisors (see below), whose sum is σ = 144589047954. Its totient is φ = 66733406736.

The previous prime is 100100110051. The next prime is 100100110129. The reversal of 100100110113 is 311011001001.

It can be written as a sum of positive squares in only one way, i.e., 60109309584 + 39990800529 = 245172^2 + 199977^2 .

It is not a de Polignac number, because 100100110113 - 2¹⁷ = 100099979041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11122234457 = 100100110113 / (1 + 0 + 0 + 1 + 0 + 0 + 1 + 1 + 0 + 1 + 1 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 100100110095 and 100100110104.

It is not an unprimeable number, because it can be changed into a prime (100100115113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5561117220 + ... + 5561117237.

It is an arithmetic number, because the mean of its divisors is an integer number (24098174659).

Almost surely, 2^100100110113 is an apocalyptic number.

It is an amenable number.

100100110113 is a deficient number, since it is larger than the sum of its proper divisors (44488937841).

100100110113 is a wasteful number, since it uses less digits than its factorization.

100100110113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122234463 (or 11122234460 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 100100110113 its reverse (311011001001), we get a palindrome (411111111114).

The spelling of 100100110113 in words is "one hundred billion, one hundred million, one hundred ten thousand, one hundred thirteen".