1010111333221 has 2 divisors, whose sum is σ = 1010111333222. Its totient is φ = 1010111333220.

The previous prime is 1010111333213. The next prime is 1010111333261. The reversal of 1010111333221 is 1223331110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 995864284900 + 14247048321 = 997930^2 + 119361^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010111333221 - 2³ = 1010111333213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010111333261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055666610 + 505055666611.

It is an arithmetic number, because the mean of its divisors is an integer number (505055666611).

Almost surely, 2^{1010111333221} is an apocalyptic number.

It is an amenable number.

1010111333221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010111333221 is an equidigital number, since it uses as much as digits as its factorization.

1010111333221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1010111333221 its reverse (1223331110101), we get a palindrome (2233442443322).

The spelling of 1010111333221 in words is "one trillion, ten billion, one hundred eleven million, three hundred thirty-three thousand, two hundred twenty-one".