221002202201121 has 18 divisors (see below), whose sum is σ = 350884120851810. Its totient is φ = 133940728606080.

The previous prime is 221002202201117. The next prime is 221002202201201. The reversal of 221002202201121 is 121102202200122.

It is a happy number.

221002202201121 is a `hidden beast` number, since 2 + 2 + 100 + 220 + 220 + 1 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 147623447701521 + 73378754499600 = 12150039^2 + 8566140^2 .

It is not a de Polignac number, because 221002202201121 - 2² = 221002202201117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221002202201094 and 221002202201103.

It is not an unprimeable number, because it can be changed into a prime (221002202201621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 101470247856 + ... + 101470250033.

It is an arithmetic number, because the mean of its divisors is an integer number (19493562269545).

Almost surely, 2^{221002202201121} is an apocalyptic number.

It is an amenable number.

221002202201121 is a deficient number, since it is larger than the sum of its proper divisors (129881918650689).

221002202201121 is a wasteful number, since it uses less digits than its factorization.

221002202201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202940497917 (or 202940497903 counting only the distinct ones).

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

Adding to 221002202201121 its reverse (121102202200122), we get a palindrome (342104404401243).

Subtracting from 221002202201121 its reverse (121102202200122), we obtain a palindrome (99900000000999).

The spelling of 221002202201121 in words is "two hundred twenty-one trillion, two billion, two hundred two million, two hundred one thousand, one hundred twenty-one".