21210002000 has 320 divisors, whose sum is σ = 58964226048. Its totient is φ = 7304000000.

The previous prime is 21210001999. The next prime is 21210002027. The reversal of 21210002000 is 20001212.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84501875 + ... + 84502125.

Almost surely, 2^21210002000 is an apocalyptic number.

21210002000 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 21210002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29482113024).

21210002000 is an abundant number, since it is smaller than the sum of its proper divisors (37754224048).

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

21210002000 is a wasteful number, since it uses less digits than its factorization.

21210002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 459 counting only the distinct ones).

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

Adding to 21210002000 its reverse (20001212), we get a palindrome (21230003212).

The spelling of 21210002000 in words is "twenty-one billion, two hundred ten million, two thousand".