100212010009 has 2 divisors, whose sum is σ = 100212010010. Its totient is φ = 100212010008.

The previous prime is 100212010001. The next prime is 100212010033. The reversal of 100212010009 is 900010212001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98927862784 + 1284147225 = 314528^2 + 35835^2 .

It is an emirp because it is prime and its reverse (900010212001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100212010009 - 2³ = 100212010001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100212009974 and 100212010001.

It is not a weakly prime, because it can be changed into another prime (100212010001) 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, 50106005004 + 50106005005.

It is an arithmetic number, because the mean of its divisors is an integer number (50106005005).

Almost surely, 2^100212010009 is an apocalyptic number.

It is an amenable number.

100212010009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212010009 is an equidigital number, since it uses as much as digits as its factorization.

100212010009 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 16.

The spelling of 100212010009 in words is "one hundred billion, two hundred twelve million, ten thousand, nine".