21221110010117 has 2 divisors, whose sum is σ = 21221110010118. Its totient is φ = 21221110010116.

The previous prime is 21221110010099. The next prime is 21221110010123. The reversal of 21221110010117 is 71101001112212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15826146847681 + 5394963162436 = 3978209^2 + 2322706^2 .

It is a cyclic number.

It is not a de Polignac number, because 21221110010117 - 2³² = 21216815042821 is a prime.

It is a super-2 number, since 2×21221110010117² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21221110010137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10610555005058 + 10610555005059.

It is an arithmetic number, because the mean of its divisors is an integer number (10610555005059).

Almost surely, 2^{21221110010117} is an apocalyptic number.

It is an amenable number.

21221110010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

21221110010117 is an equidigital number, since it uses as much as digits as its factorization.

21221110010117 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 20.

Adding to 21221110010117 its reverse (71101001112212), we get a palindrome (92322111122329).

The spelling of 21221110010117 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred ten million, ten thousand, one hundred seventeen".