211121022112081 has 2 divisors, whose sum is σ = 211121022112082. Its totient is φ = 211121022112080.

The previous prime is 211121022112043. The next prime is 211121022112151. The reversal of 211121022112081 is 180211220121112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198746808822081 + 12374213290000 = 14097759^2 + 3517700^2 .

It is a cyclic number.

It is not a de Polignac number, because 211121022112081 - 2¹⁵ = 211121022079313 is a prime.

It is a super-2 number, since 2×211121022112081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211121022112381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105560511056040 + 105560511056041.

It is an arithmetic number, because the mean of its divisors is an integer number (105560511056041).

Almost surely, 2^{211121022112081} is an apocalyptic number.

It is an amenable number.

211121022112081 is a deficient number, since it is larger than the sum of its proper divisors (1).

211121022112081 is an equidigital number, since it uses as much as digits as its factorization.

211121022112081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 25.

Adding to 211121022112081 its reverse (180211220121112), we get a palindrome (391332242233193).

The spelling of 211121022112081 in words is "two hundred eleven trillion, one hundred twenty-one billion, twenty-two million, one hundred twelve thousand, eighty-one".