110100202201220 has 192 divisors, whose sum is σ = 289829221355520. Its totient is φ = 34130899238400.

The previous prime is 110100202201163. The next prime is 110100202201289. The reversal of 110100202201220 is 22102202001011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 110100202201195 and 110100202201204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217699001 + ... + 218204159.

It is an arithmetic number, because the mean of its divisors is an integer number (1509527194560).

Almost surely, 2^{110100202201220} is an apocalyptic number.

110100202201220 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 110100202201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144914610677760).

110100202201220 is an abundant number, since it is smaller than the sum of its proper divisors (179729019154300).

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

110100202201220 is a wasteful number, since it uses less digits than its factorization.

110100202201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505954 (or 505952 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110100202201220 its reverse (22102202001011), we get a palindrome (132202404202231).

The spelling of 110100202201220 in words is "one hundred ten trillion, one hundred billion, two hundred two million, two hundred one thousand, two hundred twenty".