10221110020117 has 2 divisors, whose sum is σ = 10221110020118. Its totient is φ = 10221110020116.

The previous prime is 10221110020061. The next prime is 10221110020193. The reversal of 10221110020117 is 71102001112201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8362975718161 + 1858134301956 = 2891881^2 + 1363134^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10221110020117 is a prime.

It is a super-2 number, since 2×10221110020117² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221110020094 and 10221110020103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221110020217) 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, 5110555010058 + 5110555010059.

It is an arithmetic number, because the mean of its divisors is an integer number (5110555010059).

Almost surely, 2^{10221110020117} is an apocalyptic number.

It is an amenable number.

10221110020117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221110020117 is an equidigital number, since it uses as much as digits as its factorization.

10221110020117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 10221110020117 its reverse (71102001112201), we get a palindrome (81323111132318).

The spelling of 10221110020117 in words is "ten trillion, two hundred twenty-one billion, one hundred ten million, twenty thousand, one hundred seventeen".