110210102102221 has 12 divisors (see below), whose sum is σ = 121234892736636. Its totient is φ = 100112543664320.

The previous prime is 110210102102167. The next prime is 110210102102231. The reversal of 110210102102221 is 122201201012011.

It can be written as a sum of positive squares in 2 ways, for example, as 73192490778121 + 37017611324100 = 8555261^2 + 6084210^2 .

It is not a de Polignac number, because 110210102102221 - 2²⁷ = 110209967884493 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110210102102195 and 110210102102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110210102102231) 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, 356473240 + ... + 356782273.

It is an arithmetic number, because the mean of its divisors is an integer number (10102907728053).

Almost surely, 2^{110210102102221} is an apocalyptic number.

110210102102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110210102102221 is a deficient number, since it is larger than the sum of its proper divisors (11024790634415).

110210102102221 is a wasteful number, since it uses less digits than its factorization.

110210102102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713256812 (or 713256801 counting only the distinct ones).

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

Adding to 110210102102221 its reverse (122201201012011), we get a palindrome (232411303114232).

The spelling of 110210102102221 in words is "one hundred ten trillion, two hundred ten billion, one hundred two million, one hundred two thousand, two hundred twenty-one".