21101132033021 has 2 divisors, whose sum is σ = 21101132033022. Its totient is φ = 21101132033020.

The previous prime is 21101132032991. The next prime is 21101132033057. The reversal of 21101132033021 is 12033023110112.

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., 17723847400900 + 3377284632121 = 4209970^2 + 1837739^2 .

It is a cyclic number.

It is not a de Polignac number, because 21101132033021 - 2¹⁸ = 21101131770877 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21101132032984 and 21101132033002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21101132033621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550566016510 + 10550566016511.

It is an arithmetic number, because the mean of its divisors is an integer number (10550566016511).

Almost surely, 2^{21101132033021} is an apocalyptic number.

It is an amenable number.

21101132033021 is a deficient number, since it is larger than the sum of its proper divisors (1).

21101132033021 is an equidigital number, since it uses as much as digits as its factorization.

21101132033021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 21101132033021 its reverse (12033023110112), we get a palindrome (33134155143133).

The spelling of 21101132033021 in words is "twenty-one trillion, one hundred one billion, one hundred thirty-two million, thirty-three thousand, twenty-one".