101112310111003 has 2 divisors, whose sum is σ = 101112310111004. Its totient is φ = 101112310111002.

The previous prime is 101112310110953. The next prime is 101112310111037. The reversal of 101112310111003 is 300111013211101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101112310111003 - 2¹⁷ = 101112309979931 is a prime.

It is not a weakly prime, because it can be changed into another prime (101112310111063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556155055501 + 50556155055502.

It is an arithmetic number, because the mean of its divisors is an integer number (50556155055502).

Almost surely, 2^{101112310111003} is an apocalyptic number.

101112310111003 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112310111003 is an equidigital number, since it uses as much as digits as its factorization.

101112310111003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 101112310111003 its reverse (300111013211101), we get a palindrome (401223323322104).

The spelling of 101112310111003 in words is "one hundred one trillion, one hundred twelve billion, three hundred ten million, one hundred eleven thousand, three".