100111111200 has 216 divisors, whose sum is σ = 353972727108. Its totient is φ = 26624010240.

The previous prime is 100111111183. The next prime is 100111111201. The reversal of 100111111200 is 2111111001.

It can be written as a sum of positive squares in 6 ways, for example, as 8236651536 + 91874459664 = 90756^2 + 303108^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100111111201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2666962 + ... + 2704238.

Almost surely, 2^100111111200 is an apocalyptic number.

100111111200 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 100111111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176986363554).

100111111200 is an abundant number, since it is smaller than the sum of its proper divisors (253861615908).

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

100111111200 is a wasteful number, since it uses less digits than its factorization.

100111111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37676 (or 37660 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100111111200 its reverse (2111111001), we get a palindrome (102222222201).

It can be divided in two parts, 10011 and 1111200, that added together give a palindrome (1121211).

The spelling of 100111111200 in words is "one hundred billion, one hundred eleven million, one hundred eleven thousand, two hundred".