100211212211009 has 2 divisors, whose sum is σ = 100211212211010. Its totient is φ = 100211212211008.

The previous prime is 100211212210937. The next prime is 100211212211021. The reversal of 100211212211009 is 900112212112001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94611552561409 + 5599659649600 = 9726847^2 + 2366360^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211212211009 - 2²⁴ = 100211195433793 is a prime.

It is not a weakly prime, because it can be changed into another prime (100211218211009) 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, 50105606105504 + 50105606105505.

It is an arithmetic number, because the mean of its divisors is an integer number (50105606105505).

Almost surely, 2^{100211212211009} is an apocalyptic number.

It is an amenable number.

100211212211009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211212211009 is an equidigital number, since it uses as much as digits as its factorization.

100211212211009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 100211212211009 in words is "one hundred trillion, two hundred eleven billion, two hundred twelve million, two hundred eleven thousand, nine".