100211200 has 60 divisors (see below), whose sum is σ = 248312790. Its totient is φ = 40079360.

The previous prime is 100211183. The next prime is 100211231. The reversal of 100211200 is 2112001.

It can be written as a sum of positive squares in 3 ways, for example, as 54405376 + 45805824 = 7376^2 + 6768^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8886 + ... + 16714.

Almost surely, 2^100211200 is an apocalyptic number.

100211200 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 100211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124156395).

100211200 is an abundant number, since it is smaller than the sum of its proper divisors (148101590).

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

100211200 is an frugal number, since it uses more digits than its factorization.

100211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7857 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 100211200 is about 10010.5544302002. The cubic root of 100211200 is about 464.4854214401.

Adding to 100211200 its reverse (2112001), we get a palindrome (102323201).

The spelling of 100211200 in words is "one hundred million, two hundred eleven thousand, two hundred".