221000201012201 has 16 divisors (see below), whose sum is σ = 240361228515408. Its totient is φ = 201976537824000.

The previous prime is 221000201012179. The next prime is 221000201012203. The reversal of 221000201012201 is 102210102000122.

It can be written as a sum of positive squares in 8 ways, for example, as 42206799048976 + 178793401963225 = 6496676^2 + 13371365^2 .

It is a cyclic number.

It is not a de Polignac number, because 221000201012201 - 2⁴² = 216602154501097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221000201012203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68587871 + ... + 71737691.

It is an arithmetic number, because the mean of its divisors is an integer number (15022576782213).

Almost surely, 2^{221000201012201} is an apocalyptic number.

It is an amenable number.

221000201012201 is a deficient number, since it is larger than the sum of its proper divisors (19361027503207).

221000201012201 is a wasteful number, since it uses less digits than its factorization.

221000201012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203372.

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

Adding to 221000201012201 its reverse (102210102000122), we get a palindrome (323210303012323).

The spelling of 221000201012201 in words is "two hundred twenty-one trillion, two hundred one million, twelve thousand, two hundred one".