21013221201000 has 768 divisors, whose sum is σ = 77310889344000. Its totient is φ = 4737432268800.

The previous prime is 21013221200977. The next prime is 21013221201041. The reversal of 21013221201000 is 10212231012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6057427266 + ... + 6057430734.

It is an arithmetic number, because the mean of its divisors is an integer number (100665220500).

Almost surely, 2^{21013221201000} is an apocalyptic number.

21013221201000 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 21013221201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38655444672000).

21013221201000 is an abundant number, since it is smaller than the sum of its proper divisors (56297668143000).

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

21013221201000 is a wasteful number, since it uses less digits than its factorization.

21013221201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4059 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21013221201000 its reverse (10212231012), we get a palindrome (21023433432012).

The spelling of 21013221201000 in words is "twenty-one trillion, thirteen billion, two hundred twenty-one million, two hundred one thousand".