211106232532961 has 2 divisors, whose sum is σ = 211106232532962. Its totient is φ = 211106232532960.

The previous prime is 211106232532939. The next prime is 211106232532969. The reversal of 211106232532961 is 169235232601112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201655336291600 + 9450896241361 = 14200540^2 + 3074231^2 .

It is a cyclic number.

It is not a de Polignac number, because 211106232532961 - 2²⁶ = 211106165424097 is a prime.

It is not a weakly prime, because it can be changed into another prime (211106232532969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (43) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105553116266480 + 105553116266481.

It is an arithmetic number, because the mean of its divisors is an integer number (105553116266481).

Almost surely, 2^{211106232532961} is an apocalyptic number.

It is an amenable number.

211106232532961 is a deficient number, since it is larger than the sum of its proper divisors (1).

211106232532961 is an equidigital number, since it uses as much as digits as its factorization.

211106232532961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 233280, while the sum is 44.

The spelling of 211106232532961 in words is "two hundred eleven trillion, one hundred six billion, two hundred thirty-two million, five hundred thirty-two thousand, nine hundred sixty-one".