211122012001121 has 16 divisors (see below), whose sum is σ = 240938881540560. Its totient is φ = 183572481146880.

The previous prime is 211122012001073. The next prime is 211122012001171. The reversal of 211122012001121 is 121100210221112.

It can be written as a sum of positive squares in 8 ways, for example, as 11611471968721 + 199510540032400 = 3407561^2 + 14124820^2 .

It is a cyclic number.

It is not a de Polignac number, because 211122012001121 - 2⁶ = 211122012001057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211122012001121.

It is not an unprimeable number, because it can be changed into a prime (211122012001171) 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 in 15 ways as a sum of consecutive naturals, for example, 6829317920 + ... + 6829348833.

It is an arithmetic number, because the mean of its divisors is an integer number (15058680096285).

Almost surely, 2^{211122012001121} is an apocalyptic number.

It is an amenable number.

211122012001121 is a deficient number, since it is larger than the sum of its proper divisors (29816869539439).

211122012001121 is a wasteful number, since it uses less digits than its factorization.

211122012001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13658666836.

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

Adding to 211122012001121 its reverse (121100210221112), we get a palindrome (332222222222233).

The spelling of 211122012001121 in words is "two hundred eleven trillion, one hundred twenty-two billion, twelve million, one thousand, one hundred twenty-one".