221011212201201 has 12 divisors (see below), whose sum is σ = 327024720493380. Its totient is φ = 143747129886720.

The previous prime is 221011212201167. The next prime is 221011212201223. The reversal of 221011212201201 is 102102212110122.

221011212201201 is a `hidden beast` number, since 2 + 210 + 11 + 21 + 220 + 1 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48201152717025 + 172810059484176 = 6942705^2 + 13145724^2 .

It is not a de Polignac number, because 221011212201201 - 2⁶ = 221011212201137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221011212201251) 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, 299473186896 + ... + 299473187633.

It is an arithmetic number, because the mean of its divisors is an integer number (27252060041115).

Almost surely, 2^{221011212201201} is an apocalyptic number.

It is an amenable number.

221011212201201 is a deficient number, since it is larger than the sum of its proper divisors (106013508292179).

221011212201201 is a wasteful number, since it uses less digits than its factorization.

221011212201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598946374576 (or 598946374573 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221011212201201 its reverse (102102212110122), we get a palindrome (323113424311323).

The spelling of 221011212201201 in words is "two hundred twenty-one trillion, eleven billion, two hundred twelve million, two hundred one thousand, two hundred one".