21010212201000 has 1024 divisors, whose sum is σ = 77057975255040. Its totient is φ = 4714237440000.

The previous prime is 21010212200969. The next prime is 21010212201019. The reversal of 21010212201000 is 10221201012.

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

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 255 ways as a sum of consecutive naturals, for example, 5363851042 + ... + 5363854958.

It is an arithmetic number, because the mean of its divisors is an integer number (75251928960).

Almost surely, 2^{21010212201000} is an apocalyptic number.

21010212201000 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 21010212201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38528987627520).

21010212201000 is an abundant number, since it is smaller than the sum of its proper divisors (56047763054040).

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

21010212201000 is a wasteful number, since it uses less digits than its factorization.

21010212201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21010212201000 its reverse (10221201012), we get a palindrome (21020433402012).

It can be divided in two parts, 21010212 and 201000, that added together give a palindrome (21211212).

The spelling of 21010212201000 in words is "twenty-one trillion, ten billion, two hundred twelve million, two hundred one thousand".