21100110020117 has 2 divisors, whose sum is σ = 21100110020118. Its totient is φ = 21100110020116.

The previous prime is 21100110020089. The next prime is 21100110020131. The reversal of 21100110020117 is 71102001100112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16783983274276 + 4316126745841 = 4096826^2 + 2077529^2 .

It is a cyclic number.

It is not a de Polignac number, because 21100110020117 - 2⁶ = 21100110020053 is a prime.

It is a super-2 number, since 2×21100110020117² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21100110020095 and 21100110020104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21100110020917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550055010058 + 10550055010059.

It is an arithmetic number, because the mean of its divisors is an integer number (10550055010059).

Almost surely, 2^{21100110020117} is an apocalyptic number.

It is an amenable number.

21100110020117 is a deficient number, since it is larger than the sum of its proper divisors (1).

21100110020117 is an equidigital number, since it uses as much as digits as its factorization.

21100110020117 is an evil number, because the sum of its binary digits is even.

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

Adding to 21100110020117 its reverse (71102001100112), we get a palindrome (92202111120229).

The spelling of 21100110020117 in words is "twenty-one trillion, one hundred billion, one hundred ten million, twenty thousand, one hundred seventeen".