10221200200117 has 2 divisors, whose sum is σ = 10221200200118. Its totient is φ = 10221200200116.

The previous prime is 10221200200069. The next prime is 10221200200153. The reversal of 10221200200117 is 71100200212201.

10221200200117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10209756763441 + 11443436676 = 3195271^2 + 106974^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221200200117 - 2⁴³ = 1425107177909 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221200200094 and 10221200200103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221200200157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110600100058 + 5110600100059.

It is an arithmetic number, because the mean of its divisors is an integer number (5110600100059).

Almost surely, 2^{10221200200117} is an apocalyptic number.

It is an amenable number.

10221200200117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221200200117 is an equidigital number, since it uses as much as digits as its factorization.

10221200200117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 10221200200117 its reverse (71100200212201), we get a palindrome (81321400412318).

The spelling of 10221200200117 in words is "ten trillion, two hundred twenty-one billion, two hundred million, two hundred thousand, one hundred seventeen".