21111400411117 has 2 divisors, whose sum is σ = 21111400411118. Its totient is φ = 21111400411116.

The previous prime is 21111400411091. The next prime is 21111400411141. The reversal of 21111400411117 is 71111400411112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11063679616521 + 10047720794596 = 3326211^2 + 3169814^2 .

It is a cyclic number.

It is not a de Polignac number, because 21111400411117 - 2³⁹ = 20561644597229 is a prime.

It is a super-2 number, since 2×21111400411117² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21111400411091 and 21111400411100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21111400411217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10555700205558 + 10555700205559.

It is an arithmetic number, because the mean of its divisors is an integer number (10555700205559).

Almost surely, 2^{21111400411117} is an apocalyptic number.

It is an amenable number.

21111400411117 is a deficient number, since it is larger than the sum of its proper divisors (1).

21111400411117 is an equidigital number, since it uses as much as digits as its factorization.

21111400411117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 25.

Adding to 21111400411117 its reverse (71111400411112), we get a palindrome (92222800822229).

The spelling of 21111400411117 in words is "twenty-one trillion, one hundred eleven billion, four hundred million, four hundred eleven thousand, one hundred seventeen".