21014030010000 has 200 divisors, whose sum is σ = 68127255424800. Its totient is φ = 5579689088000.

The previous prime is 21014030009977. The next prime is 21014030010041. The reversal of 21014030010000 is 1003041012.

It is a happy number.

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

It is a super-2 number, since 2×21014030010000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 5486851 + ... + 8493149.

It is an arithmetic number, because the mean of its divisors is an integer number (340636277124).

Almost surely, 2^{21014030010000} is an apocalyptic number.

21014030010000 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 21014030010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34063627712400).

21014030010000 is an abundant number, since it is smaller than the sum of its proper divisors (47113225414800).

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

21014030010000 is a wasteful number, since it uses less digits than its factorization.

21014030010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006563 (or 3006542 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21014030010000 its reverse (1003041012), we get a palindrome (21015033051012).

The spelling of 21014030010000 in words is "twenty-one trillion, fourteen billion, thirty million, ten thousand".