100112112002003 has 2 divisors, whose sum is σ = 100112112002004. Its totient is φ = 100112112002002.

The previous prime is 100112112001969. The next prime is 100112112002027. The reversal of 100112112002003 is 300200211211001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100112112002003 - 2⁶ = 100112112001939 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112112007003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056056001001 + 50056056001002.

It is an arithmetic number, because the mean of its divisors is an integer number (50056056001002).

Almost surely, 2^{100112112002003} is an apocalyptic number.

100112112002003 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112112002003 is an equidigital number, since it uses as much as digits as its factorization.

100112112002003 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 100112112002003 its reverse (300200211211001), we get a palindrome (400312323213004).

The spelling of 100112112002003 in words is "one hundred trillion, one hundred twelve billion, one hundred twelve million, two thousand, three".