110202220220220 has 192 divisors, whose sum is σ = 357898939776000. Its totient is φ = 28098472672512.

The previous prime is 110202220220219. The next prime is 110202220220221. The reversal of 110202220220220 is 22022022202011.

110202220220220 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 0 + 2 + 220 + 220 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (110202220220219) and next prime (110202220220221).

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 = 110202220220193 and 110202220220202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110202220220221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29787046 + ... + 33281714.

It is an arithmetic number, because the mean of its divisors is an integer number (1864056978000).

Almost surely, 2^{110202220220220} is an apocalyptic number.

110202220220220 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 110202220220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178949469888000).

110202220220220 is an abundant number, since it is smaller than the sum of its proper divisors (247696719555780).

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

110202220220220 is a wasteful number, since it uses less digits than its factorization.

110202220220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3497249 (or 3497241 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 110202220220220 its reverse (22022022202011), we get a palindrome (132224242422231).

The spelling of 110202220220220 in words is "one hundred ten trillion, two hundred two billion, two hundred twenty million, two hundred twenty thousand, two hundred twenty".