21022022100089 has 2 divisors, whose sum is σ = 21022022100090. Its totient is φ = 21022022100088.

The previous prime is 21022022100019. The next prime is 21022022100103. The reversal of 21022022100089 is 98000122022012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18092474925625 + 2929547174464 = 4253525^2 + 1711592^2 .

It is a cyclic number.

It is not a de Polignac number, because 21022022100089 - 2²⁰ = 21022021051513 is a prime.

It is not a weakly prime, because it can be changed into another prime (21022022100019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10511011050044 + 10511011050045.

It is an arithmetic number, because the mean of its divisors is an integer number (10511011050045).

Almost surely, 2^{21022022100089} is an apocalyptic number.

It is an amenable number.

21022022100089 is a deficient number, since it is larger than the sum of its proper divisors (1).

21022022100089 is an equidigital number, since it uses as much as digits as its factorization.

21022022100089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 21022022100089 in words is "twenty-one trillion, twenty-two billion, twenty-two million, one hundred thousand, eighty-nine".