100212200 has 144 divisors (see below), whose sum is σ = 264943980. Its totient is φ = 35200000.

The previous prime is 100212163. The next prime is 100212223. The reversal of 100212200 is 2212001.

It can be written as a sum of positive squares in 6 ways, for example, as 37136836 + 63075364 = 6094^2 + 7942^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 992150 + ... + 992250.

Almost surely, 2^100212200 is an apocalyptic number.

100212200 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 100212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132471990).

100212200 is an abundant number, since it is smaller than the sum of its proper divisors (164731780).

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

100212200 is a wasteful number, since it uses less digits than its factorization.

100212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 100212200 is about 10010.6043773590. The cubic root of 100212200 is about 464.4869664566.

Adding to 100212200 its reverse (2212001), we get a palindrome (102424201).

It can be divided in two parts, 10021 and 2200, that added together give a palindrome (12221).

The spelling of 100212200 in words is "one hundred million, two hundred twelve thousand, two hundred".