100110100200113 has 8 divisors (see below), whose sum is σ = 100233815673576. Its totient is φ = 99986389056000.

The previous prime is 100110100200079. The next prime is 100110100200167. The reversal of 100110100200113 is 311002001011001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2907202322704 + 97202897877409 = 1705052^2 + 9859153^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100110100200113 - 2¹² = 100110100196017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110100200094 and 100110100200103.

It is not an unprimeable number, because it can be changed into a prime (100110100202113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46483745 + ... + 48589697.

It is an arithmetic number, because the mean of its divisors is an integer number (12529226959197).

Almost surely, 2^{100110100200113} is an apocalyptic number.

It is an amenable number.

100110100200113 is a deficient number, since it is larger than the sum of its proper divisors (123715473463).

100110100200113 is an equidigital number, since it uses as much as digits as its factorization.

100110100200113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164675.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100110100200113 its reverse (311002001011001), we get a palindrome (411112101211114).

The spelling of 100110100200113 in words is "one hundred trillion, one hundred ten billion, one hundred million, two hundred thousand, one hundred thirteen".