100133002001009 has 2 divisors, whose sum is σ = 100133002001010. Its totient is φ = 100133002001008.

The previous prime is 100133002000979. The next prime is 100133002001017. The reversal of 100133002001009 is 900100200331001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88232206240000 + 11900795761009 = 9393200^2 + 3449753^2 .

It is a cyclic number.

It is not a de Polignac number, because 100133002001009 - 2¹² = 100133001996913 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100133002001029) 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, 50066501000504 + 50066501000505.

It is an arithmetic number, because the mean of its divisors is an integer number (50066501000505).

Almost surely, 2^{100133002001009} is an apocalyptic number.

It is an amenable number.

100133002001009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133002001009 is an equidigital number, since it uses as much as digits as its factorization.

100133002001009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

The spelling of 100133002001009 in words is "one hundred trillion, one hundred thirty-three billion, two million, one thousand, nine".