100211111200 has 72 divisors (see below), whose sum is σ = 244796683572. Its totient is φ = 40058833920.

The previous prime is 100211111191. The next prime is 100211111201. The reversal of 100211111200 is 2111112001.

It can be written as a sum of positive squares in 6 ways, for example, as 10352655504 + 89858455696 = 101748^2 + 299764^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100211111201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1238382 + ... + 1316818.

Almost surely, 2^100211111200 is an apocalyptic number.

100211111200 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 100211111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122398341786).

100211111200 is an abundant number, since it is smaller than the sum of its proper divisors (144585572372).

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

100211111200 is a wasteful number, since it uses less digits than its factorization.

100211111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80054 (or 80041 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100211111200 its reverse (2111112001), we get a palindrome (102322223201).

The spelling of 100211111200 in words is "one hundred billion, two hundred eleven million, one hundred eleven thousand, two hundred".