110200121220 has 384 divisors, whose sum is σ = 396413337600. Its totient is φ = 22295347200.

The previous prime is 110200121219. The next prime is 110200121261. The reversal of 110200121220 is 22121002011.

It is a super-3 number, since 3×110200121220³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

110200121220 is a modest number, since divided by 121220 gives 110200 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 110200121196 and 110200121205.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7166340 + ... + 7181700.

It is an arithmetic number, because the mean of its divisors is an integer number (1032326400).

Almost surely, 2^110200121220 is an apocalyptic number.

110200121220 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 110200121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198206668800).

110200121220 is an abundant number, since it is smaller than the sum of its proper divisors (286213216380).

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

110200121220 is a wasteful number, since it uses less digits than its factorization.

110200121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15459 (or 15457 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110200121220 its reverse (22121002011), we get a palindrome (132321123231).

The spelling of 110200121220 in words is "one hundred ten billion, two hundred million, one hundred twenty-one thousand, two hundred twenty".