211211112010109 has 2 divisors, whose sum is σ = 211211112010110. Its totient is φ = 211211112010108.

The previous prime is 211211112009929. The next prime is 211211112010201. The reversal of 211211112010109 is 901010211112112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 191510918530009 + 19700193480100 = 13838747^2 + 4438490^2 .

It is a cyclic number.

It is not a de Polignac number, because 211211112010109 - 2⁸ = 211211112009853 is a prime.

It is a super-2 number, since 2×211211112010109² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211211192010109) 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, 105605556005054 + 105605556005055.

It is an arithmetic number, because the mean of its divisors is an integer number (105605556005055).

Almost surely, 2^{211211112010109} is an apocalyptic number.

It is an amenable number.

211211112010109 is a deficient number, since it is larger than the sum of its proper divisors (1).

211211112010109 is an equidigital number, since it uses as much as digits as its factorization.

211211112010109 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 23.

The spelling of 211211112010109 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred twelve million, ten thousand, one hundred nine".