110221202021220 has 72 divisors (see below), whose sum is σ = 345866530496760. Its totient is φ = 28378792243200.

The previous prime is 110221202021171. The next prime is 110221202021237. The reversal of 110221202021220 is 22120202122011.

It is a happy number.

110221202021220 is a `hidden beast` number, since 1 + 1 + 0 + 221 + 20 + 202 + 1 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22130325586944 + 88090876434276 = 4704288^2 + 9385674^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110221202021193 and 110221202021202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10557581181 + ... + 10557591620.

It is an arithmetic number, because the mean of its divisors is an integer number (4803701812455).

Almost surely, 2^{110221202021220} is an apocalyptic number.

110221202021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110221202021220 is an abundant number, since it is smaller than the sum of its proper divisors (235645328475540).

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

110221202021220 is a wasteful number, since it uses less digits than its factorization.

110221202021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21115172845 (or 21115172840 counting only the distinct ones).

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

Adding to 110221202021220 its reverse (22120202122011), we get a palindrome (132341404143231).

The spelling of 110221202021220 in words is "one hundred ten trillion, two hundred twenty-one billion, two hundred two million, twenty-one thousand, two hundred twenty".