110221100101220 has 48 divisors (see below), whose sum is σ = 234113926460400. Its totient is φ = 43583958190080.

The previous prime is 110221100101207. The next prime is 110221100101237. The reversal of 110221100101220 is 22101001122011.

It can be written as a sum of positive squares in 8 ways, for example, as 15116046340096 + 95105053761124 = 3887936^2 + 9752182^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110221100101195 and 110221100101204.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2059400 + ... + 14989440.

It is an arithmetic number, because the mean of its divisors is an integer number (4877373467925).

Almost surely, 2^{110221100101220} is an apocalyptic number.

110221100101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110221100101220 is an abundant number, since it is smaller than the sum of its proper divisors (123892826359180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110221100101220 is a wasteful number, since it uses less digits than its factorization.

110221100101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12934928 (or 12934926 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110221100101220 its reverse (22101001122011), we get a palindrome (132322101223231).

The spelling of 110221100101220 in words is "one hundred ten trillion, two hundred twenty-one billion, one hundred million, one hundred one thousand, two hundred twenty".