100112122213 has 2 divisors, whose sum is σ = 100112122214. Its totient is φ = 100112122212.

The previous prime is 100112122181. The next prime is 100112122219. The reversal of 100112122213 is 312221211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87247572129 + 12864550084 = 295377^2 + 113422^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112122213 - 2⁵ = 100112122181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100112122219) 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, 50056061106 + 50056061107.

It is an arithmetic number, because the mean of its divisors is an integer number (50056061107).

Almost surely, 2^100112122213 is an apocalyptic number.

It is an amenable number.

100112122213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112122213 is an equidigital number, since it uses as much as digits as its factorization.

100112122213 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 100112122213 its reverse (312221211001), we get a palindrome (412333333214).

The spelling of 100112122213 in words is "one hundred billion, one hundred twelve million, one hundred twenty-two thousand, two hundred thirteen".