100112122013 has 2 divisors, whose sum is σ = 100112122014. Its totient is φ = 100112122012.

The previous prime is 100112121997. The next prime is 100112122037. The reversal of 100112122013 is 310221211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98669489689 + 1442632324 = 314117^2 + 37982^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112122013 - 2⁴ = 100112121997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100112122043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056061006 + 50056061007.

It is an arithmetic number, because the mean of its divisors is an integer number (50056061007).

Almost surely, 2^100112122013 is an apocalyptic number.

It is an amenable number.

100112122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112122013 is an equidigital number, since it uses as much as digits as its factorization.

100112122013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100112122013 its reverse (310221211001), we get a palindrome (410333333014).

The spelling of 100112122013 in words is "one hundred billion, one hundred twelve million, one hundred twenty-two thousand, thirteen".