100012112009 has 2 divisors, whose sum is σ = 100012112010. Its totient is φ = 100012112008.

The previous prime is 100012111981. The next prime is 100012112017. The reversal of 100012112009 is 900211210001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99873696784 + 138415225 = 316028^2 + 11765^2 .

It is a cyclic number.

It is not a de Polignac number, because 100012112009 - 2¹² = 100012107913 is a prime.

It is not a weakly prime, because it can be changed into another prime (100012112029) 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, 50006056004 + 50006056005.

It is an arithmetic number, because the mean of its divisors is an integer number (50006056005).

Almost surely, 2^100012112009 is an apocalyptic number.

It is an amenable number.

100012112009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100012112009 is an equidigital number, since it uses as much as digits as its factorization.

100012112009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 100012112009 in words is "one hundred billion, twelve million, one hundred twelve thousand, nine".