100112022213113 has 2 divisors, whose sum is σ = 100112022213114. Its totient is φ = 100112022213112.

The previous prime is 100112022213109. The next prime is 100112022213131. The reversal of 100112022213113 is 311312220211001.

Together with next prime (100112022213131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89253593497744 + 10858428715369 = 9447412^2 + 3295213^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112022213113 - 2² = 100112022213109 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112022213613) 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, 50056011106556 + 50056011106557.

It is an arithmetic number, because the mean of its divisors is an integer number (50056011106557).

Almost surely, 2^{100112022213113} is an apocalyptic number.

It is an amenable number.

100112022213113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112022213113 is an equidigital number, since it uses as much as digits as its factorization.

100112022213113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 100112022213113 its reverse (311312220211001), we get a palindrome (411424242424114).

The spelling of 100112022213113 in words is "one hundred trillion, one hundred twelve billion, twenty-two million, two hundred thirteen thousand, one hundred thirteen".