110202120211100 has 144 divisors (see below), whose sum is σ = 241844434715520. Its totient is φ = 43583354112000.

The previous prime is 110202120211093. The next prime is 110202120211151. The reversal of 110202120211100 is 1112021202011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35332515341 + ... + 35332518459.

It is an arithmetic number, because the mean of its divisors is an integer number (1679475241080).

Almost surely, 2^{110202120211100} is an apocalyptic number.

110202120211100 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 110202120211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120922217357760).

110202120211100 is an abundant number, since it is smaller than the sum of its proper divisors (131642314504420).

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

110202120211100 is a wasteful number, since it uses less digits than its factorization.

110202120211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7008 (or 7001 counting only the distinct ones).

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

Adding to 110202120211100 its reverse (1112021202011), we get a palindrome (111314141413111).

The spelling of 110202120211100 in words is "one hundred ten trillion, two hundred two billion, one hundred twenty million, two hundred eleven thousand, one hundred".