20201221211201 has 8 divisors (see below), whose sum is σ = 21132621959400. Its totient is φ = 19285474257280.

The previous prime is 20201221211189. The next prime is 20201221211273. The reversal of 20201221211201 is 10211212210202.

It can be written as a sum of positive squares in 4 ways, for example, as 2174607369025 + 18026613842176 = 1474655^2 + 4245776^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 20201221211201 - 2⁶ = 20201221211137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20201221211201.

It is not an unprimeable number, because it can be changed into a prime (20201221214201) 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, 3913445930 + ... + 3913451091.

It is an arithmetic number, because the mean of its divisors is an integer number (2641577744925).

Almost surely, 2^{20201221211201} is an apocalyptic number.

It is an amenable number.

20201221211201 is a deficient number, since it is larger than the sum of its proper divisors (931400748199).

20201221211201 is an equidigital number, since it uses as much as digits as its factorization.

20201221211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7826897139.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20201221211201 its reverse (10211212210202), we get a palindrome (30412433421403).

Subtracting from 20201221211201 its reverse (10211212210202), we obtain a palindrome (9990009000999).

It can be divided in two parts, 2020122 and 1211201, that added together give a palindrome (3231323).

The spelling of 20201221211201 in words is "twenty trillion, two hundred one billion, two hundred twenty-one million, two hundred eleven thousand, two hundred one".