110201121321100 has 144 divisors (see below), whose sum is σ = 254467258365600. Its totient is φ = 41305904640000.

The previous prime is 110201121321089. The next prime is 110201121321101. The reversal of 110201121321100 is 1123121102011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (110201121321101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193342530 + ... + 193911670.

It is an arithmetic number, because the mean of its divisors is an integer number (1767133738650).

Almost surely, 2^{110201121321100} is an apocalyptic number.

110201121321100 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 110201121321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127233629182800).

110201121321100 is an abundant number, since it is smaller than the sum of its proper divisors (144266137044500).

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

110201121321100 is a wasteful number, since it uses less digits than its factorization.

110201121321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570284 (or 570277 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 110201121321100 its reverse (1123121102011), we get a palindrome (111324242423111).

The spelling of 110201121321100 in words is "one hundred ten trillion, two hundred one billion, one hundred twenty-one million, three hundred twenty-one thousand, one hundred".