110221011202120 has 96 divisors (see below), whose sum is σ = 310677905273400. Its totient is φ = 34883133207552.

The previous prime is 110221011202109. The next prime is 110221011202123. The reversal of 110221011202120 is 21202110122011.

It can be written as a sum of positive squares in 4 ways, for example, as 66503339981764 + 43717671220356 = 8154958^2 + 6611934^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110221011202094 and 110221011202103.

It is not an unprimeable number, because it can be changed into a prime (110221011202123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2162867205 + ... + 2162918164.

Almost surely, 2^{110221011202120} is an apocalyptic number.

110221011202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110221011202120 is an abundant number, since it is smaller than the sum of its proper divisors (200456894071280).

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

110221011202120 is a wasteful number, since it uses less digits than its factorization.

110221011202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325785407 (or 4325785396 counting only the distinct ones).

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

Adding to 110221011202120 its reverse (21202110122011), we get a palindrome (131423121324131).

The spelling of 110221011202120 in words is "one hundred ten trillion, two hundred twenty-one billion, eleven million, two hundred two thousand, one hundred twenty".