21121000101233 has 2 divisors, whose sum is σ = 21121000101234. Its totient is φ = 21121000101232.

The previous prime is 21121000101209. The next prime is 21121000101247. The reversal of 21121000101233 is 33210100012112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14601393665329 + 6519606435904 = 3821177^2 + 2553352^2 .

It is a cyclic number.

It is not a de Polignac number, because 21121000101233 - 2¹⁸ = 21120999839089 is a prime.

It is not a weakly prime, because it can be changed into another prime (21121000101293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10560500050616 + 10560500050617.

It is an arithmetic number, because the mean of its divisors is an integer number (10560500050617).

Almost surely, 2^{21121000101233} is an apocalyptic number.

It is an amenable number.

21121000101233 is a deficient number, since it is larger than the sum of its proper divisors (1).

21121000101233 is an equidigital number, since it uses as much as digits as its factorization.

21121000101233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 21121000101233 its reverse (33210100012112), we get a palindrome (54331100113345).

The spelling of 21121000101233 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred one thousand, two hundred thirty-three".