212211100019101 has 2 divisors, whose sum is σ = 212211100019102. Its totient is φ = 212211100019100.

The previous prime is 212211100019069. The next prime is 212211100019117. The reversal of 212211100019101 is 101910001112212.

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., 124193773139076 + 88017326880025 = 11144226^2 + 9381755^2 .

It is a cyclic number.

It is not a de Polignac number, because 212211100019101 - 2⁵ = 212211100019069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212211100019141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106105550009550 + 106105550009551.

It is an arithmetic number, because the mean of its divisors is an integer number (106105550009551).

Almost surely, 2^{212211100019101} is an apocalyptic number.

It is an amenable number.

212211100019101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212211100019101 is an equidigital number, since it uses as much as digits as its factorization.

212211100019101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 212211100019101 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred million, nineteen thousand, one hundred one".