110001201200100 has 216 divisors, whose sum is σ = 394307513745600. Its totient is φ = 25126620560640.

The previous prime is 110001201200063. The next prime is 110001201200131. The reversal of 110001201200100 is 1002102100011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 71 ways as a sum of consecutive naturals, for example, 3862626 + ... + 15327174.

Almost surely, 2^{110001201200100} is an apocalyptic number.

110001201200100 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 110001201200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197153756872800).

110001201200100 is an abundant number, since it is smaller than the sum of its proper divisors (284306312545500).

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

110001201200100 is a wasteful number, since it uses less digits than its factorization.

110001201200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11466099 (or 11466089 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110001201200100 its reverse (1002102100011), we get a palindrome (111003303300111).

The spelling of 110001201200100 in words is "one hundred ten trillion, one billion, two hundred one million, two hundred thousand, one hundred".