10212 has 24 divisors (see below), whose sum is σ = 25536. Its totient is φ = 3168.

The previous prime is 10211. The next prime is 10223. The reversal of 10212 is 21201.

10212 = 9² + 10² + ... + 31².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 10212.

It is not an unprimeable number, because it can be changed into a prime (10211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258 + ... + 294.

It is an arithmetic number, because the mean of its divisors is an integer number (1064).

2¹⁰²¹² is an apocalyptic number.

10212 is a gapful number since it is divisible by the number (12) 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 10212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12768).

10212 is an abundant number, since it is smaller than the sum of its proper divisors (15324).

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

10212 is a wasteful number, since it uses less digits than its factorization.

10212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 10212 is about 101.0544407733. The cubic root of 10212 is about 21.6955302367.

Adding to 10212 its reverse (21201), we get a palindrome (31413).

It can be divided in two parts, 10 and 212, that added together give a palindrome (222).

The spelling of 10212 in words is "ten thousand, two hundred twelve", and thus it is an iban number.