221100221001201 has 32 divisors (see below), whose sum is σ = 298219404976128. Its totient is φ = 145700708852160.

The previous prime is 221100221001193. The next prime is 221100221001287. The reversal of 221100221001201 is 102100122001122.

221100221001201 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221100221001201 - 2³ = 221100221001193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221100221001001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488904550 + ... + 489356576.

It is an arithmetic number, because the mean of its divisors is an integer number (9319356405504).

Almost surely, 2^{221100221001201} is an apocalyptic number.

It is an amenable number.

221100221001201 is a deficient number, since it is larger than the sum of its proper divisors (77119183974927).

221100221001201 is a wasteful number, since it uses less digits than its factorization.

221100221001201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457621.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221100221001201 its reverse (102100122001122), we get a palindrome (323200343002323).

The spelling of 221100221001201 in words is "two hundred twenty-one trillion, one hundred billion, two hundred twenty-one million, one thousand, two hundred one".