100201222212209 has 2 divisors, whose sum is σ = 100201222212210. Its totient is φ = 100201222212208.

The previous prime is 100201222212191. The next prime is 100201222212271. The reversal of 100201222212209 is 902212222102001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78468982825984 + 21732239386225 = 8858272^2 + 4661785^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201222212209 - 2⁴⁰ = 99101710584433 is a prime.

It is not a weakly prime, because it can be changed into another prime (100201222212409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100611106104 + 50100611106105.

It is an arithmetic number, because the mean of its divisors is an integer number (50100611106105).

Almost surely, 2^{100201222212209} is an apocalyptic number.

It is an amenable number.

100201222212209 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201222212209 is an equidigital number, since it uses as much as digits as its factorization.

100201222212209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 100201222212209 in words is "one hundred trillion, two hundred one billion, two hundred twenty-two million, two hundred twelve thousand, two hundred nine".