1033210221221 has 2 divisors, whose sum is σ = 1033210221222. Its totient is φ = 1033210221220.

The previous prime is 1033210221217. The next prime is 1033210221311. The reversal of 1033210221221 is 1221220123301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 945777645121 + 87432576100 = 972511^2 + 295690^2 .

It is an emirp because it is prime and its reverse (1221220123301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1033210221221 - 2² = 1033210221217 is a prime.

It is a super-2 number, since 2×1033210221221² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1033210221193 and 1033210221202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1033210229221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516605110610 + 516605110611.

It is an arithmetic number, because the mean of its divisors is an integer number (516605110611).

Almost surely, 2^{1033210221221} is an apocalyptic number.

It is an amenable number.

1033210221221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033210221221 is an equidigital number, since it uses as much as digits as its factorization.

1033210221221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1033210221221 its reverse (1221220123301), we get a palindrome (2254430344522).

The spelling of 1033210221221 in words is "one trillion, thirty-three billion, two hundred ten million, two hundred twenty-one thousand, two hundred twenty-one".