10221133133429 has 2 divisors, whose sum is σ = 10221133133430. Its totient is φ = 10221133133428.

The previous prime is 10221133133389. The next prime is 10221133133437. The reversal of 10221133133429 is 92433133112201.

10221133133429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9818132892100 + 403000241329 = 3133390^2 + 634823^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221133133429 - 2²⁰ = 10221132084853 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221133133489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110566566714 + 5110566566715.

It is an arithmetic number, because the mean of its divisors is an integer number (5110566566715).

Almost surely, 2^{10221133133429} is an apocalyptic number.

It is an amenable number.

10221133133429 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221133133429 is an equidigital number, since it uses as much as digits as its factorization.

10221133133429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 10221133133429 in words is "ten trillion, two hundred twenty-one billion, one hundred thirty-three million, one hundred thirty-three thousand, four hundred twenty-nine".