220221100202121 has 20 divisors (see below), whose sum is σ = 328975317686400. Its totient is φ = 146812702569336.

The previous prime is 220221100202069. The next prime is 220221100202237. The reversal of 220221100202121 is 121202001122022.

It is a happy number.

220221100202121 is a `hidden beast` number, since 2 + 20 + 221 + 100 + 202 + 121 = 666.

It is not a de Polignac number, because 220221100202121 - 2¹⁰ = 220221100201097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220221100202094 and 220221100202103.

It is not an unprimeable number, because it can be changed into a prime (220221100202821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3823341 + ... + 21332138.

It is an arithmetic number, because the mean of its divisors is an integer number (16448765884320).

Almost surely, 2^{220221100202121} is an apocalyptic number.

It is an amenable number.

220221100202121 is a deficient number, since it is larger than the sum of its proper divisors (108754217484279).

220221100202121 is a wasteful number, since it uses less digits than its factorization.

220221100202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25263570 (or 25263561 counting only the distinct ones).

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

Adding to 220221100202121 its reverse (121202001122022), we get a palindrome (341423101324143).

The spelling of 220221100202121 in words is "two hundred twenty trillion, two hundred twenty-one billion, one hundred million, two hundred two thousand, one hundred twenty-one".