111010122221249 has 2 divisors, whose sum is σ = 111010122221250. Its totient is φ = 111010122221248.

The previous prime is 111010122221171. The next prime is 111010122221263. The reversal of 111010122221249 is 942122221010111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110619068353600 + 391053867649 = 10517560^2 + 625343^2 .

It is a cyclic number.

It is not a de Polignac number, because 111010122221249 - 2¹² = 111010122217153 is a prime.

It is not a weakly prime, because it can be changed into another prime (111010122221549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505061110624 + 55505061110625.

It is an arithmetic number, because the mean of its divisors is an integer number (55505061110625).

Almost surely, 2^{111010122221249} is an apocalyptic number.

It is an amenable number.

111010122221249 is a deficient number, since it is larger than the sum of its proper divisors (1).

111010122221249 is an equidigital number, since it uses as much as digits as its factorization.

111010122221249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 111010122221249 in words is "one hundred eleven trillion, ten billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred forty-nine".