100212210 has 96 divisors (see below), whose sum is σ = 301991040. Its totient is φ = 22581504.

The previous prime is 100212163. The next prime is 100212223. The reversal of 100212210 is 12212001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100212192 and 100212201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44901 + ... + 47079.

It is an arithmetic number, because the mean of its divisors is an integer number (3145740).

Almost surely, 2^100212210 is an apocalyptic number.

100212210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150995520).

100212210 is an abundant number, since it is smaller than the sum of its proper divisors (201778830).

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

100212210 is a wasteful number, since it uses less digits than its factorization.

100212210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100212210 is about 10010.6048768294. The cubic root of 100212210 is about 464.4869819068.

Adding to 100212210 its reverse (12212001), we get a palindrome (112424211).

The spelling of 100212210 in words is "one hundred million, two hundred twelve thousand, two hundred ten".