110002121102221 has 16 divisors (see below), whose sum is σ = 117806925521520. Its totient is φ = 102346050949120.

The previous prime is 110002121102197. The next prime is 110002121102281. The reversal of 110002121102221 is 122201121200011.

It can be written as a sum of positive squares in 8 ways, for example, as 142668621225 + 109859452480996 = 377715^2 + 10481386^2 .

It is a cyclic number.

It is not a de Polignac number, because 110002121102221 - 2⁵ = 110002121102189 is a prime.

It is a super-2 number, since 2×110002121102221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110002121102195 and 110002121102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110002121102281) 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, 823840 + ... + 14855401.

It is an arithmetic number, because the mean of its divisors is an integer number (7362932845095).

Almost surely, 2^{110002121102221} is an apocalyptic number.

It is an amenable number.

110002121102221 is a deficient number, since it is larger than the sum of its proper divisors (7804804419299).

110002121102221 is a wasteful number, since it uses less digits than its factorization.

110002121102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15683984.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110002121102221 its reverse (122201121200011), we get a palindrome (232203242302232).

The spelling of 110002121102221 in words is "one hundred ten trillion, two billion, one hundred twenty-one million, one hundred two thousand, two hundred twenty-one".