21112121221033 has 2 divisors, whose sum is σ = 21112121221034. Its totient is φ = 21112121221032.

The previous prime is 21112121221007. The next prime is 21112121221069. The reversal of 21112121221033 is 33012212121112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16312810143744 + 4799311077289 = 4038912^2 + 2190733^2 .

It is a cyclic number.

It is not a de Polignac number, because 21112121221033 - 2⁵ = 21112121221001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21112121220995 and 21112121221013.

It is not a weakly prime, because it can be changed into another prime (21112121225033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10556060610516 + 10556060610517.

It is an arithmetic number, because the mean of its divisors is an integer number (10556060610517).

Almost surely, 2^{21112121221033} is an apocalyptic number.

It is an amenable number.

21112121221033 is a deficient number, since it is larger than the sum of its proper divisors (1).

21112121221033 is an equidigital number, since it uses as much as digits as its factorization.

21112121221033 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 22.

Adding to 21112121221033 its reverse (33012212121112), we get a palindrome (54124333342145).

The spelling of 21112121221033 in words is "twenty-one trillion, one hundred twelve billion, one hundred twenty-one million, two hundred twenty-one thousand, thirty-three".