100112220202013 has 2 divisors, whose sum is σ = 100112220202014. Its totient is φ = 100112220202012.

The previous prime is 100112220201971. The next prime is 100112220202051. The reversal of 100112220202013 is 310202022211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68009083484644 + 32103136717369 = 8246762^2 + 5665963^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112220202013 - 2⁶ = 100112220201949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100112220201982 and 100112220202000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100112220202073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056110101006 + 50056110101007.

It is an arithmetic number, because the mean of its divisors is an integer number (50056110101007).

Almost surely, 2^{100112220202013} is an apocalyptic number.

It is an amenable number.

100112220202013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112220202013 is an equidigital number, since it uses as much as digits as its factorization.

100112220202013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 100112220202013 its reverse (310202022211001), we get a palindrome (410314242413014).

The spelling of 100112220202013 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty million, two hundred two thousand, thirteen".