110221220120121 has 24 divisors (see below), whose sum is σ = 173682886538304. Its totient is φ = 66800368726560.

The previous prime is 110221220120087. The next prime is 110221220120147. The reversal of 110221220120121 is 121021022122011.

110221220120121 is a `hidden beast` number, since 1 + 1 + 0 + 221 + 220 + 1 + 201 + 21 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-110221220120121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110221220120094 and 110221220120103.

It is not an unprimeable number, because it can be changed into a prime (110221220190121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15394315 + ... + 21387551.

It is an arithmetic number, because the mean of its divisors is an integer number (7236786939096).

Almost surely, 2^{110221220120121} is an apocalyptic number.

110221220120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110221220120121 is a deficient number, since it is larger than the sum of its proper divisors (63461666418183).

110221220120121 is a wasteful number, since it uses less digits than its factorization.

110221220120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6179021 (or 6179018 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110221220120121 its reverse (121021022122011), we get a palindrome (231242242242132).

The spelling of 110221220120121 in words is "one hundred ten trillion, two hundred twenty-one billion, two hundred twenty million, one hundred twenty thousand, one hundred twenty-one".