110012222002221 has 128 divisors (see below), whose sum is σ = 204131309690880. Its totient is φ = 56886631257600.

The previous prime is 110012222002213. The next prime is 110012222002279. The reversal of 110012222002221 is 122200222210011.

It is a happy number.

110012222002221 is a `hidden beast` number, since 1 + 100 + 122 + 220 + 0 + 2 + 221 = 666.

It is not a de Polignac number, because 110012222002221 - 2³ = 110012222002213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110012222002194 and 110012222002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110012222002201) 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 127 ways as a sum of consecutive naturals, for example, 1677468651 + ... + 1677534231.

It is an arithmetic number, because the mean of its divisors is an integer number (1594775856960).

Almost surely, 2^{110012222002221} is an apocalyptic number.

110012222002221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110012222002221 is a deficient number, since it is larger than the sum of its proper divisors (94119087688659).

110012222002221 is a wasteful number, since it uses less digits than its factorization.

110012222002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69304 (or 69298 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 110012222002221 its reverse (122200222210011), we get a palindrome (232212444212232).

The spelling of 110012222002221 in words is "one hundred ten trillion, twelve billion, two hundred twenty-two million, two thousand, two hundred twenty-one".