21210202000 has 320 divisors, whose sum is σ = 57428699328. Its totient is φ = 7526400000.

The previous prime is 21210201989. The next prime is 21210202007. The reversal of 21210202000 is 20201212.

It can be written as a sum of positive squares in 32 ways, for example, as 19150131456 + 2060070544 = 138384^2 + 45388^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (21210202007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107665902 + ... + 107666098.

Almost surely, 2^21210202000 is an apocalyptic number.

21210202000 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 21210202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28714349664).

21210202000 is an abundant number, since it is smaller than the sum of its proper divisors (36218497328).

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

21210202000 is a wasteful number, since it uses less digits than its factorization.

21210202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21210202000 its reverse (20201212), we get a palindrome (21230403212).

The spelling of 21210202000 in words is "twenty-one billion, two hundred ten million, two hundred two thousand".