1010000133221 has 2 divisors, whose sum is σ = 1010000133222. Its totient is φ = 1010000133220.

The previous prime is 1010000133169. The next prime is 1010000133223. The reversal of 1010000133221 is 1223310000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 988483350625 + 21516782596 = 994225^2 + 146686^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010000133221 is a prime.

It is a super-4 number, since 4×1010000133221⁴ (a number of 49 digits) contains 4444 as substring.

Together with 1010000133223, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010000133196 and 1010000133205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010000133223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505000066610 + 505000066611.

It is an arithmetic number, because the mean of its divisors is an integer number (505000066611).

Almost surely, 2^{1010000133221} is an apocalyptic number.

It is an amenable number.

1010000133221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010000133221 is an equidigital number, since it uses as much as digits as its factorization.

1010000133221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1010000133221 its reverse (1223310000101), we get a palindrome (2233310133322).

The spelling of 1010000133221 in words is "one trillion, ten billion, one hundred thirty-three thousand, two hundred twenty-one".