21102101117 has 2 divisors, whose sum is σ = 21102101118. Its totient is φ = 21102101116.

The previous prime is 21102101101. The next prime is 21102101143. The reversal of 21102101117 is 71110120112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13064261401 + 8037839716 = 114299^2 + 89654^2 .

It is a cyclic number.

It is not a de Polignac number, because 21102101117 - 2⁴ = 21102101101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21102101095 and 21102101104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21102701117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10551050558 + 10551050559.

It is an arithmetic number, because the mean of its divisors is an integer number (10551050559).

Almost surely, 2^21102101117 is an apocalyptic number.

It is an amenable number.

21102101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

21102101117 is an equidigital number, since it uses as much as digits as its factorization.

21102101117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 21102101117 its reverse (71110120112), we get a palindrome (92212221229).

The spelling of 21102101117 in words is "twenty-one billion, one hundred two million, one hundred one thousand, one hundred seventeen".