100111101200 has 120 divisors (see below), whose sum is σ = 262508082336. Its totient is φ = 36386560000.

The previous prime is 100111101197. The next prime is 100111101221. The reversal of 100111101200 is 2101111001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12320339 + ... + 12328461.

Almost surely, 2^100111101200 is an apocalyptic number.

100111101200 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 100111101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131254041168).

100111101200 is an abundant number, since it is smaller than the sum of its proper divisors (162396981136).

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

100111101200 is a wasteful number, since it uses less digits than its factorization.

100111101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10953 (or 10942 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100111101200 its reverse (2101111001), we get a palindrome (102212212201).

The spelling of 100111101200 in words is "one hundred billion, one hundred eleven million, one hundred one thousand, two hundred".