1012100009 has 2 divisors, whose sum is σ = 1012100010. Its totient is φ = 1012100008.

The previous prime is 1012099973. The next prime is 1012100039. The reversal of 1012100009 is 9000012101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 912040000 + 100060009 = 30200^2 + 10003^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1012100009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012099966 and 1012100002.

It is not a weakly prime, because it can be changed into another prime (1012100039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506050004 + 506050005.

It is an arithmetic number, because the mean of its divisors is an integer number (506050005).

Almost surely, 2^1012100009 is an apocalyptic number.

It is an amenable number.

1012100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012100009 is an equidigital number, since it uses as much as digits as its factorization.

1012100009 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 14.

The square root of 1012100009 is about 31813.5192803311. The cubic root of 1012100009 is about 1004.0171770128.

The spelling of 1012100009 in words is "one billion, twelve million, one hundred thousand, nine".