100111113200 has 120 divisors (see below), whose sum is σ = 275146139520. Its totient is φ = 34290144000.

The previous prime is 100111113181. The next prime is 100111113217. The reversal of 100111113200 is 2311111001.

It is a happy number.

It is a super-2 number, since 2×100111113200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2925791 + ... + 2959809.

It is an arithmetic number, because the mean of its divisors is an integer number (2292884496).

Almost surely, 2^100111113200 is an apocalyptic number.

100111113200 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 100111113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137573069760).

100111113200 is an abundant number, since it is smaller than the sum of its proper divisors (175035026320).

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

100111113200 is a wasteful number, since it uses less digits than its factorization.

100111113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35095 (or 35084 counting only the distinct ones).

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

Adding to 100111113200 its reverse (2311111001), we get a palindrome (102422224201).

It can be divided in two parts, 10011 and 1113200, that added together give a palindrome (1123211).

The spelling of 100111113200 in words is "one hundred billion, one hundred eleven million, one hundred thirteen thousand, two hundred".