110221012202121 has 12 divisors (see below), whose sum is σ = 163511051135172. Its totient is φ = 71494710617376.

The previous prime is 110221012202111. The next prime is 110221012202129. The reversal of 110221012202121 is 121202210122011.

110221012202121 is a `hidden beast` number, since 1 + 10 + 221 + 0 + 1 + 220 + 212 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66063392387721 + 44157619814400 = 8127939^2 + 6645120^2 .

It is not a de Polignac number, because 110221012202121 - 2¹⁸ = 110221011939977 is a prime.

It is a super-3 number, since 3×110221012202121³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110221012202094 and 110221012202103.

It is not an unprimeable number, because it can be changed into a prime (110221012202129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165497014986 + ... + 165497015651.

It is an arithmetic number, because the mean of its divisors is an integer number (13625920927931).

Almost surely, 2^{110221012202121} is an apocalyptic number.

It is an amenable number.

110221012202121 is a deficient number, since it is larger than the sum of its proper divisors (53290038933051).

110221012202121 is a wasteful number, since it uses less digits than its factorization.

110221012202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330994030680 (or 330994030677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110221012202121 its reverse (121202210122011), we get a palindrome (231423222324132).

The spelling of 110221012202121 in words is "one hundred ten trillion, two hundred twenty-one billion, twelve million, two hundred two thousand, one hundred twenty-one".