100112042113 has 2 divisors, whose sum is σ = 100112042114. Its totient is φ = 100112042112.

The previous prime is 100112042111. The next prime is 100112042137. The reversal of 100112042113 is 311240211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93297869809 + 6814172304 = 305447^2 + 82548^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112042113 - 2¹ = 100112042111 is a prime.

Together with 100112042111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100112042111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056021056 + 50056021057.

It is an arithmetic number, because the mean of its divisors is an integer number (50056021057).

Almost surely, 2^100112042113 is an apocalyptic number.

It is an amenable number.

100112042113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112042113 is an equidigital number, since it uses as much as digits as its factorization.

100112042113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100112042113 its reverse (311240211001), we get a palindrome (411352253114).

The spelling of 100112042113 in words is "one hundred billion, one hundred twelve million, forty-two thousand, one hundred thirteen".