21102105727 has 2 divisors, whose sum is σ = 21102105728. Its totient is φ = 21102105726.

The previous prime is 21102105707. The next prime is 21102105743. The reversal of 21102105727 is 72750120112.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21102105727 is a prime.

It is a super-2 number, since 2×21102105727² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21102105695 and 21102105704.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21102105707) 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, 10551052863 + 10551052864.

It is an arithmetic number, because the mean of its divisors is an integer number (10551052864).

Almost surely, 2^21102105727 is an apocalyptic number.

21102105727 is a deficient number, since it is larger than the sum of its proper divisors (1).

21102105727 is an equidigital number, since it uses as much as digits as its factorization.

21102105727 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1960, while the sum is 28.

Adding to 21102105727 its reverse (72750120112), we get a palindrome (93852225839).

The spelling of 21102105727 in words is "twenty-one billion, one hundred two million, one hundred five thousand, seven hundred twenty-seven".