100210212 has 36 divisors (see below), whose sum is σ = 253631196. Its totient is φ = 33360960.

The previous prime is 100210193. The next prime is 100210247. The reversal of 100210212 is 212012001.

It can be written as a sum of positive squares in 2 ways, for example, as 57517056 + 42693156 = 7584^2 + 6534^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 100210194 and 100210203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41338 + ... + 43694.

It is an arithmetic number, because the mean of its divisors is an integer number (7045311).

Almost surely, 2^100210212 is an apocalyptic number.

100210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100210212 is an abundant number, since it is smaller than the sum of its proper divisors (153420984).

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

100210212 is a wasteful number, since it uses less digits than its factorization.

100210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548 (or 3543 counting only the distinct ones).

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

The square root of 100210212 is about 10010.5050821624. The cubic root of 100210212 is about 464.4838949537.

Adding to 100210212 its reverse (212012001), we get a palindrome (312222213).

The spelling of 100210212 in words is "one hundred million, two hundred ten thousand, two hundred twelve".