212102010 has 64 divisors (see below), whose sum is σ = 570873600. Its totient is φ = 56033856.

The previous prime is 212102003. The next prime is 212102039. The reversal of 212102010 is 10201212.

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 = 212101983 and 212102001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25827 + ... + 33033.

It is an arithmetic number, because the mean of its divisors is an integer number (8919900).

Almost surely, 2^212102010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285436800).

212102010 is an abundant number, since it is smaller than the sum of its proper divisors (358771590).

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

212102010 is a wasteful number, since it uses less digits than its factorization.

212102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7332 (or 7326 counting only the distinct ones).

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

The square root of 212102010 is about 14563.7223950472. The cubic root of 212102010 is about 596.3688185342.

Adding to 212102010 its reverse (10201212), we get a palindrome (222303222).

It can be divided in two parts, 21210 and 2010, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 212102010 in words is "two hundred twelve million, one hundred two thousand, ten".