21000302010000 has 600 divisors, whose sum is σ = 76460101529240. Its totient is φ = 5374024704000.

The previous prime is 21000302009987. The next prime is 21000302010089. The reversal of 21000302010000 is 1020300012.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 20826883067904 + 173418942096 = 4563648^2 + 416436^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×21000302010000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 243046806 + ... + 243133194.

Almost surely, 2^{21000302010000} is an apocalyptic number.

21000302010000 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 21000302010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38230050764620).

21000302010000 is an abundant number, since it is smaller than the sum of its proper divisors (55459799519240).

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

21000302010000 is a wasteful number, since it uses less digits than its factorization.

21000302010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86533 (or 86509 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 21000302010000 its reverse (1020300012), we get a palindrome (21001322310012).

The spelling of 21000302010000 in words is "twenty-one trillion, three hundred two million, ten thousand".