100112009 has 2 divisors, whose sum is σ = 100112010. Its totient is φ = 100112008.

The previous prime is 100111961. The next prime is 100112029. The reversal of 100112009 is 900211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58186384 + 41925625 = 7628^2 + 6475^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112009 - 2¹⁶ = 100046473 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111984 and 100112002.

It is not a weakly prime, because it can be changed into another prime (100112029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056004 + 50056005.

It is an arithmetic number, because the mean of its divisors is an integer number (50056005).

Almost surely, 2^100112009 is an apocalyptic number.

It is an amenable number.

100112009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112009 is an equidigital number, since it uses as much as digits as its factorization.

100112009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 100112009 is about 10005.5988826257. The cubic root of 100112009 is about 464.3321186056.

The spelling of 100112009 in words is "one hundred million, one hundred twelve thousand, nine".