111122220220961 has 2 divisors, whose sum is σ = 111122220220962. Its totient is φ = 111122220220960.

The previous prime is 111122220220937. The next prime is 111122220221039. The reversal of 111122220220961 is 169022022221111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59534186905600 + 51588033315361 = 7715840^2 + 7182481^2 .

It is a cyclic number.

It is not a de Polignac number, because 111122220220961 - 2²⁶ = 111122153112097 is a prime.

It is not a weakly prime, because it can be changed into another prime (111122220220901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55561110110480 + 55561110110481.

It is an arithmetic number, because the mean of its divisors is an integer number (55561110110481).

Almost surely, 2^{111122220220961} is an apocalyptic number.

It is an amenable number.

111122220220961 is a deficient number, since it is larger than the sum of its proper divisors (1).

111122220220961 is an equidigital number, since it uses as much as digits as its factorization.

111122220220961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 111122220220961 in words is "one hundred eleven trillion, one hundred twenty-two billion, two hundred twenty million, two hundred twenty thousand, nine hundred sixty-one".