100211101112009 has 2 divisors, whose sum is σ = 100211101112010. Its totient is φ = 100211101112008.

The previous prime is 100211101111939. The next prime is 100211101112029. The reversal of 100211101112009 is 900211101112001.

It is an a-pointer prime, because the next prime (100211101112029) can be obtained adding 100211101112009 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75633025725625 + 24578075386384 = 8696725^2 + 4957628^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211101112009 - 2³⁶ = 100142381635273 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 (100211101112029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105550556004 + 50105550556005.

It is an arithmetic number, because the mean of its divisors is an integer number (50105550556005).

Almost surely, 2^{100211101112009} is an apocalyptic number.

It is an amenable number.

100211101112009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211101112009 is an equidigital number, since it uses as much as digits as its factorization.

100211101112009 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 20.

The spelling of 100211101112009 in words is "one hundred trillion, two hundred eleven billion, one hundred one million, one hundred twelve thousand, nine".