211221210112091 has 2 divisors, whose sum is σ = 211221210112092. Its totient is φ = 211221210112090.

The previous prime is 211221210112013. The next prime is 211221210112117. The reversal of 211221210112091 is 190211012122112.

It is an a-pointer prime, because the next prime (211221210112117) can be obtained adding 211221210112091 to its sum of digits (26).

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211221210112091 is a prime.

It is a super-2 number, since 2×211221210112091² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211221210112091.

It is not a weakly prime, because it can be changed into another prime (211221210112291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105610605056045 + 105610605056046.

It is an arithmetic number, because the mean of its divisors is an integer number (105610605056046).

Almost surely, 2^{211221210112091} is an apocalyptic number.

211221210112091 is a deficient number, since it is larger than the sum of its proper divisors (1).

211221210112091 is an equidigital number, since it uses as much as digits as its factorization.

211221210112091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 211221210112091 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred ten million, one hundred twelve thousand, ninety-one".