21001201121201 has 64 divisors (see below), whose sum is σ = 24941775052800. Its totient is φ = 17671820443200.

The previous prime is 21001201121123. The next prime is 21001201121213. The reversal of 21001201121201 is 10212110210012.

It is a de Polignac number, because none of the positive numbers 2^k-21001201121201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21001201121401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11047448351 + ... + 11047450251.

It is an arithmetic number, because the mean of its divisors is an integer number (389715235200).

Almost surely, 2^{21001201121201} is an apocalyptic number.

It is an amenable number.

21001201121201 is a deficient number, since it is larger than the sum of its proper divisors (3940573931599).

21001201121201 is an equidigital number, since it uses as much as digits as its factorization.

21001201121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21001201121201 its reverse (10212110210012), we get a palindrome (31213311331213).

The spelling of 21001201121201 in words is "twenty-one trillion, one billion, two hundred one million, one hundred twenty-one thousand, two hundred one".