100222121002009 has 2 divisors, whose sum is σ = 100222121002010. Its totient is φ = 100222121002008.

The previous prime is 100222121001971. The next prime is 100222121002027. The reversal of 100222121002009 is 900200121222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97584209054784 + 2637911947225 = 9878472^2 + 1624165^2 .

It is a cyclic number.

It is not a de Polignac number, because 100222121002009 - 2¹¹ = 100222120999961 is a prime.

It is not a weakly prime, because it can be changed into another prime (100222121002039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111060501004 + 50111060501005.

It is an arithmetic number, because the mean of its divisors is an integer number (50111060501005).

Almost surely, 2^{100222121002009} is an apocalyptic number.

It is an amenable number.

100222121002009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222121002009 is an equidigital number, since it uses as much as digits as its factorization.

100222121002009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 100222121002009 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twenty-one million, two thousand, nine".