20001442020201 has 12 divisors (see below), whose sum is σ = 30590440737012. Its totient is φ = 12549924404736.

The previous prime is 20001442020191. The next prime is 20001442020211. The reversal of 20001442020201 is 10202024410002.

20001442020201 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 1 + 442 + 0 + 20 + 201 = 666.

It is an interprime number because it is at equal distance from previous prime (20001442020191) and next prime (20001442020211).

It can be written as a sum of positive squares in 2 ways, for example, as 13176181269801 + 6825260750400 = 3629901^2 + 2612520^2 .

It is not a de Polignac number, because 20001442020201 - 2¹⁵ = 20001441987433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20001442020211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65364189456 + ... + 65364189761.

It is an arithmetic number, because the mean of its divisors is an integer number (2549203394751).

Almost surely, 2^{20001442020201} is an apocalyptic number.

It is an amenable number.

20001442020201 is a deficient number, since it is larger than the sum of its proper divisors (10588998716811).

20001442020201 is a wasteful number, since it uses less digits than its factorization.

20001442020201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130728379240 (or 130728379237 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20001442020201 its reverse (10202024410002), we get a palindrome (30203466430203).

The spelling of 20001442020201 in words is "twenty trillion, one billion, four hundred forty-two million, twenty thousand, two hundred one".