21001110020000 has 720 divisors, whose sum is σ = 62077090122432. Its totient is φ = 6919672320000.

The previous prime is 21001110019993. The next prime is 21001110020003. The reversal of 21001110020000 is 2001110012.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21001110020000.

It is not an unprimeable number, because it can be changed into a prime (21001110020003) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1826654252 + ... + 1826665748.

Almost surely, 2^{21001110020000} is an apocalyptic number.

21001110020000 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 21001110020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31038545061216).

21001110020000 is an abundant number, since it is smaller than the sum of its proper divisors (41075980102432).

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

21001110020000 is a wasteful number, since it uses less digits than its factorization.

21001110020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11599 (or 11557 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21001110020000 its reverse (2001110012), we get a palindrome (21003111130012).

The spelling of 21001110020000 in words is "twenty-one trillion, one billion, one hundred ten million, twenty thousand".