100200010110113 has 2 divisors, whose sum is σ = 100200010110114. Its totient is φ = 100200010110112.

The previous prime is 100200010110097. The next prime is 100200010110127. The reversal of 100200010110113 is 311011010002001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94506551216704 + 5693458893409 = 9721448^2 + 2386097^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200010110113 - 2⁴ = 100200010110097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100200010110094 and 100200010110103.

It is not a weakly prime, because it can be changed into another prime (100200010110913) 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 as a sum of consecutive naturals, namely, 50100005055056 + 50100005055057.

It is an arithmetic number, because the mean of its divisors is an integer number (50100005055057).

Almost surely, 2^{100200010110113} is an apocalyptic number.

It is an amenable number.

100200010110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200010110113 is an equidigital number, since it uses as much as digits as its factorization.

100200010110113 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100200010110113 its reverse (311011010002001), we get a palindrome (411211020112114).

The spelling of 100200010110113 in words is "one hundred trillion, two hundred billion, ten million, one hundred ten thousand, one hundred thirteen".