110201110111100 has 144 divisors (see below), whose sum is σ = 254928266880000. Its totient is φ = 41228674755840.

The previous prime is 110201110111069. The next prime is 110201110111117. The reversal of 110201110111100 is 1111011102011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3192459641 + ... + 3192494159.

Almost surely, 2^{110201110111100} is an apocalyptic number.

110201110111100 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 110201110111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127464133440000).

110201110111100 is an abundant number, since it is smaller than the sum of its proper divisors (144727156768900).

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

110201110111100 is a wasteful number, since it uses less digits than its factorization.

110201110111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55900 (or 55893 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 110201110111100 its reverse (1111011102011), we get a palindrome (111312121213111).

The spelling of 110201110111100 in words is "one hundred ten trillion, two hundred one billion, one hundred ten million, one hundred eleven thousand, one hundred".