21100252633 has 2 divisors, whose sum is σ = 21100252634. Its totient is φ = 21100252632.

The previous prime is 21100252631. The next prime is 21100252673. The reversal of 21100252633 is 33625200112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16764293529 + 4335959104 = 129477^2 + 65848^2 .

It is a cyclic number.

It is not a de Polignac number, because 21100252633 - 2¹ = 21100252631 is a prime.

It is a super-2 number, since 2×21100252633² (a number of 21 digits) contains 22 as substring.

Together with 21100252631, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 21100252598 and 21100252607.

It is not a weakly prime, because it can be changed into another prime (21100252631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550126316 + 10550126317.

It is an arithmetic number, because the mean of its divisors is an integer number (10550126317).

Almost surely, 2^21100252633 is an apocalyptic number.

It is an amenable number.

21100252633 is a deficient number, since it is larger than the sum of its proper divisors (1).

21100252633 is an equidigital number, since it uses as much as digits as its factorization.

21100252633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 21100252633 its reverse (33625200112), we get a palindrome (54725452745).

The spelling of 21100252633 in words is "twenty-one billion, one hundred million, two hundred fifty-two thousand, six hundred thirty-three".