12201021012001 has 16 divisors (see below), whose sum is σ = 13119904194768. Its totient is φ = 11305072281600.

The previous prime is 12201021011947. The next prime is 12201021012017. The reversal of 12201021012001 is 10021012010221.

It can be written as a sum of positive squares in 8 ways, for example, as 2723981901601 + 9477039110400 = 1650449^2 + 3078480^2 .

It is a cyclic number.

It is not a de Polignac number, because 12201021012001 - 2³⁷ = 12063582058529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12201021012091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8415130 + ... + 9757891.

It is an arithmetic number, because the mean of its divisors is an integer number (819994012173).

Almost surely, 2^{12201021012001} is an apocalyptic number.

It is an amenable number.

12201021012001 is a deficient number, since it is larger than the sum of its proper divisors (918883182767).

12201021012001 is a wasteful number, since it uses less digits than its factorization.

12201021012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18173652.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12201021012001 its reverse (10021012010221), we get a palindrome (22222033022222).

The spelling of 12201021012001 in words is "twelve trillion, two hundred one billion, twenty-one million, twelve thousand, one".