21200221012000 has 192 divisors, whose sum is σ = 52766642073600. Its totient is φ = 8369833804800.

The previous prime is 21200221011997. The next prime is 21200221012007. The reversal of 21200221012000 is 21012200212.

It is a happy number.

It is a super-3 number, since 3×21200221012000³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21200221012007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1061434014 + ... + 1061453986.

It is an arithmetic number, because the mean of its divisors is an integer number (274826260800).

Almost surely, 2^{21200221012000} is an apocalyptic number.

21200221012000 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 21200221012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26383321036800).

21200221012000 is an abundant number, since it is smaller than the sum of its proper divisors (31566421061600).

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

21200221012000 is a wasteful number, since it uses less digits than its factorization.

21200221012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23436 (or 23418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21200221012000 its reverse (21012200212), we get a palindrome (21221233212212).

The spelling of 21200221012000 in words is "twenty-one trillion, two hundred billion, two hundred twenty-one million, twelve thousand".