110022211121121 has 48 divisors (see below), whose sum is σ = 171809696298240. Its totient is φ = 67443362605440.

The previous prime is 110022211121113. The next prime is 110022211121131. The reversal of 110022211121121 is 121121112220011.

It is a happy number.

110022211121121 is a `hidden beast` number, since 1 + 100 + 222 + 111 + 211 + 21 = 666.

It is not a de Polignac number, because 110022211121121 - 2³ = 110022211121113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110022211121094 and 110022211121103.

It is not an unprimeable number, because it can be changed into a prime (110022211121101) 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 47 ways as a sum of consecutive naturals, for example, 196332036 + ... + 196891626.

It is an arithmetic number, because the mean of its divisors is an integer number (3579368672880).

Almost surely, 2^{110022211121121} is an apocalyptic number.

It is an amenable number.

110022211121121 is a deficient number, since it is larger than the sum of its proper divisors (61787485177119).

110022211121121 is a wasteful number, since it uses less digits than its factorization.

110022211121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566126 (or 566123 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110022211121121 its reverse (121121112220011), we get a palindrome (231143323341132).

The spelling of 110022211121121 in words is "one hundred ten trillion, twenty-two billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty-one".