110122102002220 has 288 divisors, whose sum is σ = 309559138560000. Its totient is φ = 32449343109120.

The previous prime is 110122102002197. The next prime is 110122102002229. The reversal of 110122102002220 is 22200201221011.

It is a happy number.

It is a super-2 number, since 2×110122102002220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110122102002194 and 110122102002203.

It is not an unprimeable number, because it can be changed into a prime (110122102002229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97547556 + ... + 98670004.

It is an arithmetic number, because the mean of its divisors is an integer number (1074858120000).

Almost surely, 2^{110122102002220} is an apocalyptic number.

110122102002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110122102002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154779569280000).

110122102002220 is an abundant number, since it is smaller than the sum of its proper divisors (199437036557780).

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

110122102002220 is a wasteful number, since it uses less digits than its factorization.

110122102002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122981 (or 1122972 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 110122102002220 its reverse (22200201221011), we get a palindrome (132322303223231).

The spelling of 110122102002220 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred two million, two thousand, two hundred twenty".