212011220011121 has 2 divisors, whose sum is σ = 212011220011122. Its totient is φ = 212011220011120.

The previous prime is 212011220011067. The next prime is 212011220011211. The reversal of 212011220011121 is 121110022110212.

Together with next prime (212011220011211) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108897573160000 + 103113646851121 = 10435400^2 + 10154489^2 .

It is a cyclic number.

It is not a de Polignac number, because 212011220011121 - 2¹⁰ = 212011220010097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212011220011121.

It is not a weakly prime, because it can be changed into another prime (212011220011021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106005610005560 + 106005610005561.

It is an arithmetic number, because the mean of its divisors is an integer number (106005610005561).

Almost surely, 2^{212011220011121} is an apocalyptic number.

It is an amenable number.

212011220011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

212011220011121 is an equidigital number, since it uses as much as digits as its factorization.

212011220011121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 212011220011121 its reverse (121110022110212), we get a palindrome (333121242121333).

The spelling of 212011220011121 in words is "two hundred twelve trillion, eleven billion, two hundred twenty million, eleven thousand, one hundred twenty-one".