110221110220122 has 120 divisors (see below), whose sum is σ = 272051842110048. Its totient is φ = 33328812599280.

The previous prime is 110221110220103. The next prime is 110221110220129. The reversal of 110221110220122 is 221022011122011.

110221110220122 is a `hidden beast` number, since 1 + 102 + 211 + 10 + 220 + 122 = 666.

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 = 110221110220095 and 110221110220104.

It is not an unprimeable number, because it can be changed into a prime (110221110220129) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3133843 + ... + 15174425.

Almost surely, 2^{110221110220122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110221110220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136025921055024).

110221110220122 is an abundant number, since it is smaller than the sum of its proper divisors (161830731889926).

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

110221110220122 is a wasteful number, since it uses less digits than its factorization.

110221110220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12041086 (or 12041066 counting only the distinct ones).

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

Adding to 110221110220122 its reverse (221022011122011), we get a palindrome (331243121342133).

The spelling of 110221110220122 in words is "one hundred ten trillion, two hundred twenty-one billion, one hundred ten million, two hundred twenty thousand, one hundred twenty-two".