211122012111041 has 2 divisors, whose sum is σ = 211122012111042. Its totient is φ = 211122012111040.

The previous prime is 211122012110929. The next prime is 211122012111211. The reversal of 211122012111041 is 140111210221112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 170894439475600 + 40227572635441 = 13072660^2 + 6342521^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211122012111041 is a prime.

It is not a weakly prime, because it can be changed into another prime (211122012111841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105561006055520 + 105561006055521.

It is an arithmetic number, because the mean of its divisors is an integer number (105561006055521).

Almost surely, 2^{211122012111041} is an apocalyptic number.

It is an amenable number.

211122012111041 is a deficient number, since it is larger than the sum of its proper divisors (1).

211122012111041 is an equidigital number, since it uses as much as digits as its factorization.

211122012111041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 211122012111041 its reverse (140111210221112), we get a palindrome (351233222332153).

The spelling of 211122012111041 in words is "two hundred eleven trillion, one hundred twenty-two billion, twelve million, one hundred eleven thousand, forty-one".