21021000233000 has 256 divisors, whose sum is σ = 51205115520000. Its totient is φ = 8067540096000.

The previous prime is 21021000232993. The next prime is 21021000233027. The reversal of 21021000233000 is 33200012012.

It is a happy number.

It is a super-3 number, since 3×21021000233000³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5949899234 + ... + 5949902766.

It is an arithmetic number, because the mean of its divisors is an integer number (200019982500).

Almost surely, 2^{21021000233000} is an apocalyptic number.

21021000233000 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 21021000233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25602557760000).

21021000233000 is an abundant number, since it is smaller than the sum of its proper divisors (30184115287000).

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

21021000233000 is a wasteful number, since it uses less digits than its factorization.

21021000233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 21021000233000 its reverse (33200012012), we get a palindrome (21054200245012).

The spelling of 21021000233000 in words is "twenty-one trillion, twenty-one billion, two hundred thirty-three thousand".