110101212000221 has 16 divisors (see below), whose sum is σ = 122660083316400. Its totient is φ = 98126613623808.

The previous prime is 110101212000193. The next prime is 110101212000253. The reversal of 110101212000221 is 122000212101011.

It can be written as a sum of positive squares in 8 ways, for example, as 6297941584900 + 103803270415321 = 2509570^2 + 10188389^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101212000221 - 2²⁶ = 110101144891357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110101212000196 and 110101212000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101212000721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53564645 + ... + 55582133.

It is an arithmetic number, because the mean of its divisors is an integer number (7666255207275).

Almost surely, 2^{110101212000221} is an apocalyptic number.

It is an amenable number.

110101212000221 is a deficient number, since it is larger than the sum of its proper divisors (12558871316179).

110101212000221 is a wasteful number, since it uses less digits than its factorization.

110101212000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162288.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110101212000221 its reverse (122000212101011), we get a palindrome (232101424101232).

The spelling of 110101212000221 in words is "one hundred ten trillion, one hundred one billion, two hundred twelve million, two hundred twenty-one", and thus it is an aban number.