211011121001 has 2 divisors, whose sum is σ = 211011121002. Its totient is φ = 211011121000.

The previous prime is 211011120959. The next prime is 211011121073. The reversal of 211011121001 is 100121110112.

211011121001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109617277225 + 101393843776 = 331085^2 + 318424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211011121001 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (211011421001) 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 as a sum of consecutive naturals, namely, 105505560500 + 105505560501.

It is an arithmetic number, because the mean of its divisors is an integer number (105505560501).

Almost surely, 2^211011121001 is an apocalyptic number.

It is an amenable number.

211011121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

211011121001 is an equidigital number, since it uses as much as digits as its factorization.

211011121001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 211011121001 its reverse (100121110112), we get a palindrome (311132231113).

The spelling of 211011121001 in words is "two hundred eleven billion, eleven million, one hundred twenty-one thousand, one".