110021022000221 has 8 divisors (see below), whose sum is σ = 112704601846200. Its totient is φ = 107337448834560.

The previous prime is 110021022000167. The next prime is 110021022000229. The reversal of 110021022000221 is 122000220120011.

It can be written as a sum of positive squares in 4 ways, for example, as 19793725572196 + 90227296428025 = 4449014^2 + 9498805^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110021022000221 - 2¹⁸ = 110021021738077 is a prime.

It is a super-3 number, since 3×110021022000221³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110021022000196 and 110021022000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110021022000229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54147815 + ... + 56142923.

It is an arithmetic number, because the mean of its divisors is an integer number (14088075230775).

Almost surely, 2^{110021022000221} is an apocalyptic number.

It is an amenable number.

110021022000221 is a deficient number, since it is larger than the sum of its proper divisors (2683579845979).

110021022000221 is a wasteful number, since it uses less digits than its factorization.

110021022000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340159.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110021022000221 its reverse (122000220120011), we get a palindrome (232021242120232).

The spelling of 110021022000221 in words is "one hundred ten trillion, twenty-one billion, twenty-two million, two hundred twenty-one", and thus it is an aban number.