211112210021033 has 2 divisors, whose sum is σ = 211112210021034. Its totient is φ = 211112210021032.

The previous prime is 211112210020997. The next prime is 211112210021047. The reversal of 211112210021033 is 330120012211112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157919737158544 + 53192472862489 = 12566612^2 + 7293317^2 .

It is a cyclic number.

It is not a de Polignac number, because 211112210021033 - 2¹⁴ = 211112210004649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211112210020996 and 211112210021014.

It is not a weakly prime, because it can be changed into another prime (211112210021533) 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, 105556105010516 + 105556105010517.

It is an arithmetic number, because the mean of its divisors is an integer number (105556105010517).

Almost surely, 2^{211112210021033} is an apocalyptic number.

It is an amenable number.

211112210021033 is a deficient number, since it is larger than the sum of its proper divisors (1).

211112210021033 is an equidigital number, since it uses as much as digits as its factorization.

211112210021033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 211112210021033 its reverse (330120012211112), we get a palindrome (541232222232145).

The spelling of 211112210021033 in words is "two hundred eleven trillion, one hundred twelve billion, two hundred ten million, twenty-one thousand, thirty-three".