21210000 has 200 divisors, whose sum is σ = 79024704. Its totient is φ = 4800000.

The previous prime is 21209963. The next prime is 21210011. The reversal of 21210000 is 1212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209950 + ... + 210050.

Almost surely, 2^21210000 is an apocalyptic number.

21210000 is a gapful number since it is divisible by the number (20) 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 21210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39512352).

21210000 is an abundant number, since it is smaller than the sum of its proper divisors (57814704).

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

21210000 is a wasteful number, since it uses less digits than its factorization.

21210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

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

The square root of 21210000 is about 4605.4315758678. The cubic root of 21210000 is about 276.8090104766.

Adding to 21210000 its reverse (1212), we get a palindrome (21211212).

It can be divided in two parts, 21 and 210000, that multiplied together give a square (4410000 = 2100²).

The spelling of 21210000 in words is "twenty-one million, two hundred ten thousand".