100111311200 has 36 divisors (see below), whose sum is σ = 244396740420. Its totient is φ = 40044524160.

The previous prime is 100111311199. The next prime is 100111311221. The reversal of 100111311200 is 2113111001.

It is a happy number.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 62568770 + ... + 62570369.

It is an arithmetic number, because the mean of its divisors is an integer number (6788798345).

Almost surely, 2^100111311200 is an apocalyptic number.

100111311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111311200 is an abundant number, since it is smaller than the sum of its proper divisors (144285429220).

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

100111311200 is a wasteful number, since it uses less digits than its factorization.

100111311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125139159 (or 125139146 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100111311200 its reverse (2113111001), we get a palindrome (102224422201).

The spelling of 100111311200 in words is "one hundred billion, one hundred eleven million, three hundred eleven thousand, two hundred".