21000201332000 has 192 divisors, whose sum is σ = 56731405086720. Its totient is φ = 7576305408000.

The previous prime is 21000201331987. The next prime is 21000201332003. The reversal of 21000201332000 is 23310200012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21000201332003) 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, 3708956 + ... + 7467044.

It is an arithmetic number, because the mean of its divisors is an integer number (295476068160).

Almost surely, 2^{21000201332000} is an apocalyptic number.

21000201332000 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 21000201332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28365702543360).

21000201332000 is an abundant number, since it is smaller than the sum of its proper divisors (35731203754720).

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

21000201332000 is a wasteful number, since it uses less digits than its factorization.

21000201332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758252 (or 3758234 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 21000201332000 its reverse (23310200012), we get a palindrome (21023511532012).

The spelling of 21000201332000 in words is "twenty-one trillion, two hundred one million, three hundred thirty-two thousand".