110201112011100 has 144 divisors (see below), whose sum is σ = 366141876670080. Its totient is φ = 25309346284800.

The previous prime is 110201112011083. The next prime is 110201112011101. The reversal of 110201112011100 is 1110211102011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110201112011101) 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, 878734047 + ... + 878859446.

It is an arithmetic number, because the mean of its divisors is an integer number (2542651921320).

Almost surely, 2^{110201112011100} is an apocalyptic number.

110201112011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110201112011100 is an abundant number, since it is smaller than the sum of its proper divisors (255940764658980).

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

110201112011100 is a wasteful number, since it uses less digits than its factorization.

110201112011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757593540 (or 1757593533 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110201112011100 its reverse (1110211102011), we get a palindrome (111311323113111).

The spelling of 110201112011100 in words is "one hundred ten trillion, two hundred one billion, one hundred twelve million, eleven thousand, one hundred".