21221200001201 has 8 divisors (see below), whose sum is σ = 21468975820200. Its totient is φ = 20974162710400.

The previous prime is 21221200001189. The next prime is 21221200001231. The reversal of 21221200001201 is 10210000212212.

It can be written as a sum of positive squares in 4 ways, for example, as 3608271207025 + 17612928794176 = 1899545^2 + 4196776^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21221200001201 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21221200001231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184574246 + ... + 184689183.

It is an arithmetic number, because the mean of its divisors is an integer number (2683621977525).

Almost surely, 2^{21221200001201} is an apocalyptic number.

It is an amenable number.

21221200001201 is a deficient number, since it is larger than the sum of its proper divisors (247775818999).

21221200001201 is a wasteful number, since it uses less digits than its factorization.

21221200001201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369264099.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21221200001201 its reverse (10210000212212), we get a palindrome (31431200213413).

The spelling of 21221200001201 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred million, one thousand, two hundred one".