21200012201000 has 32 divisors (see below), whose sum is σ = 49608028552680. Its totient is φ = 8480004880000.

The previous prime is 21200012200963. The next prime is 21200012201087. The reversal of 21200012201000 is 10221000212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10857960800164 + 10342051400836 = 3295142^2 + 3215906^2 .

It is a super-4 number, since 4×21200012201000⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10600005101 + ... + 10600007100.

Almost surely, 2^{21200012201000} is an apocalyptic number.

21200012201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200012201000 is an abundant number, since it is smaller than the sum of its proper divisors (28408016351680).

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

21200012201000 is a wasteful number, since it uses less digits than its factorization.

21200012201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21200012222 (or 21200012208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21200012201000 its reverse (10221000212), we get a palindrome (21210233201212).

The spelling of 21200012201000 in words is "twenty-one trillion, two hundred billion, twelve million, two hundred one thousand".