110100201221120 has 352 divisors, whose sum is σ = 296350927741440. Its totient is φ = 38902573301760.

The previous prime is 110100201221093. The next prime is 110100201221159. The reversal of 110100201221120 is 21122102001011.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×110100201221120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110100201221095 and 110100201221104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467281901 + ... + 467517459.

It is an arithmetic number, because the mean of its divisors is an integer number (841906044720).

Almost surely, 2^{110100201221120} is an apocalyptic number.

110100201221120 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 110100201221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148175463870720).

110100201221120 is an abundant number, since it is smaller than the sum of its proper divisors (186250726520320).

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

110100201221120 is a wasteful number, since it uses less digits than its factorization.

110100201221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235831 (or 235813 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110100201221120 its reverse (21122102001011), we get a palindrome (131222303222131).

The spelling of 110100201221120 in words is "one hundred ten trillion, one hundred billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty".