211031102106193 has 2 divisors, whose sum is σ = 211031102106194. Its totient is φ = 211031102106192.

The previous prime is 211031102106113. The next prime is 211031102106203. The reversal of 211031102106193 is 391601201130112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207884693094849 + 3146409011344 = 14418207^2 + 1773812^2 .

It is a cyclic number.

It is not a de Polignac number, because 211031102106193 - 2¹⁷ = 211031101975121 is a prime.

It is not a weakly prime, because it can be changed into another prime (211031102106113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105515551053096 + 105515551053097.

It is an arithmetic number, because the mean of its divisors is an integer number (105515551053097).

Almost surely, 2^{211031102106193} is an apocalyptic number.

It is an amenable number.

211031102106193 is a deficient number, since it is larger than the sum of its proper divisors (1).

211031102106193 is an equidigital number, since it uses as much as digits as its factorization.

211031102106193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 211031102106193 in words is "two hundred eleven trillion, thirty-one billion, one hundred two million, one hundred six thousand, one hundred ninety-three".