12221010202001 has 8 divisors (see below), whose sum is σ = 12724314503208. Its totient is φ = 11727478800000.

The previous prime is 12221010201989. The next prime is 12221010202007. The reversal of 12221010202001 is 10020201012221.

It can be written as a sum of positive squares in 4 ways, for example, as 1148221545601 + 11072788656400 = 1071551^2 + 3327580^2 .

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 12221010202001 - 2³⁰ = 12219936460177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12221010202007) 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, 2443222250 + ... + 2443227251.

It is an arithmetic number, because the mean of its divisors is an integer number (1590539312901).

Almost surely, 2^{12221010202001} is an apocalyptic number.

It is an amenable number.

12221010202001 is a deficient number, since it is larger than the sum of its proper divisors (503304301207).

12221010202001 is an equidigital number, since it uses as much as digits as its factorization.

12221010202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4886449603.

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

Adding to 12221010202001 its reverse (10020201012221), we get a palindrome (22241211214222).

The spelling of 12221010202001 in words is "twelve trillion, two hundred twenty-one billion, ten million, two hundred two thousand, one".