110201210001220 has 96 divisors (see below), whose sum is σ = 257824136394720. Its totient is φ = 39285682974720.

The previous prime is 110201210001199. The next prime is 110201210001227. The reversal of 110201210001220 is 22100012102011.

It can be written as a sum of positive squares in 16 ways, for example, as 5293468968516 + 104907741032704 = 2300754^2 + 10242448^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 110201210001220.

It is not an unprimeable number, because it can be changed into a prime (110201210001227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387572224 + ... + 387856456.

It is an arithmetic number, because the mean of its divisors is an integer number (2685668087445).

Almost surely, 2^{110201210001220} is an apocalyptic number.

110201210001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110201210001220 is an abundant number, since it is smaller than the sum of its proper divisors (147622926393500).

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

110201210001220 is a wasteful number, since it uses less digits than its factorization.

110201210001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335705 (or 335703 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110201210001220 its reverse (22100012102011), we get a palindrome (132301222103231).

The spelling of 110201210001220 in words is "one hundred ten trillion, two hundred one billion, two hundred ten million, one thousand, two hundred twenty".