100110101822513 has 2 divisors, whose sum is σ = 100110101822514. Its totient is φ = 100110101822512.

The previous prime is 100110101822477. The next prime is 100110101822611. The reversal of 100110101822513 is 315228101011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66081161257024 + 34028940565489 = 8129032^2 + 5833433^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110101822513 - 2¹⁴ = 100110101806129 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110101872513) 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 as a sum of consecutive naturals, namely, 50055050911256 + 50055050911257.

It is an arithmetic number, because the mean of its divisors is an integer number (50055050911257).

Almost surely, 2^{100110101822513} is an apocalyptic number.

It is an amenable number.

100110101822513 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110101822513 is an equidigital number, since it uses as much as digits as its factorization.

100110101822513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 26.

Adding to 100110101822513 its reverse (315228101011001), we get a palindrome (415338202833514).

The spelling of 100110101822513 in words is "one hundred trillion, one hundred ten billion, one hundred one million, eight hundred twenty-two thousand, five hundred thirteen".