221022201221001 has 48 divisors (see below), whose sum is σ = 334419822945936. Its totient is φ = 140513129422848.

The previous prime is 221022201220981. The next prime is 221022201221027. The reversal of 221022201221001 is 100122102220122.

It is a happy number.

221022201221001 is a `hidden beast` number, since 221 + 0 + 2 + 220 + 1 + 221 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2690990899776 + 218331210321225 = 1640424^2 + 14776035^2 .

It is not a de Polignac number, because 221022201221001 - 2¹⁰ = 221022201219977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221022201221071) 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 47 ways as a sum of consecutive naturals, for example, 10249081 + ... + 23389913.

It is an arithmetic number, because the mean of its divisors is an integer number (6967079644707).

Almost surely, 2^{221022201221001} is an apocalyptic number.

It is an amenable number.

221022201221001 is a deficient number, since it is larger than the sum of its proper divisors (113397621724935).

221022201221001 is a wasteful number, since it uses less digits than its factorization.

221022201221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13141882 (or 13141879 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221022201221001 its reverse (100122102220122), we get a palindrome (321144303441123).

It can be divided in two parts, 22102220122 and 1001, that multiplied together give a palindrome (22124322342122).

The spelling of 221022201221001 in words is "two hundred twenty-one trillion, twenty-two billion, two hundred one million, two hundred twenty-one thousand, one".