211112102221249 has 2 divisors, whose sum is σ = 211112102221250. Its totient is φ = 211112102221248.

The previous prime is 211112102221187. The next prime is 211112102221271. The reversal of 211112102221249 is 942122201211112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170507577201025 + 40604525020224 = 13057855^2 + 6372168^2 .

It is a cyclic number.

It is not a de Polignac number, because 211112102221249 - 2¹⁹ = 211112101696961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211112102221249.

It is not a weakly prime, because it can be changed into another prime (211112102321249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105556051110624 + 105556051110625.

It is an arithmetic number, because the mean of its divisors is an integer number (105556051110625).

Almost surely, 2^{211112102221249} is an apocalyptic number.

It is an amenable number.

211112102221249 is a deficient number, since it is larger than the sum of its proper divisors (1).

211112102221249 is an equidigital number, since it uses as much as digits as its factorization.

211112102221249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 31.

The spelling of 211112102221249 in words is "two hundred eleven trillion, one hundred twelve billion, one hundred two million, two hundred twenty-one thousand, two hundred forty-nine".