221101221121201 has 16 divisors (see below), whose sum is σ = 232913285498880. Its totient is φ = 209479464398160.

The previous prime is 221101221121199. The next prime is 221101221121223. The reversal of 221101221121201 is 102121122101122.

It is a happy number.

221101221121201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221101221121201 - 2¹ = 221101221121199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221101221121271) 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, 78852915 + ... + 81608728.

It is an arithmetic number, because the mean of its divisors is an integer number (14557080343680).

Almost surely, 2^{221101221121201} is an apocalyptic number.

It is an amenable number.

221101221121201 is a deficient number, since it is larger than the sum of its proper divisors (11812064377679).

221101221121201 is a wasteful number, since it uses less digits than its factorization.

221101221121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160462236.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 221101221121201 its reverse (102121122101122), we get a palindrome (323222343222323).

The spelling of 221101221121201 in words is "two hundred twenty-one trillion, one hundred one billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred one".