220100100021221 has 32 divisors (see below), whose sum is σ = 260632608768000. Its totient is φ = 181885772629440.

The previous prime is 220100100021203. The next prime is 220100100021257. The reversal of 220100100021221 is 122120001001022.

It is a cyclic number.

It is not a de Polignac number, because 220100100021221 - 2¹⁰ = 220100100020197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220100100021196 and 220100100021205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220100100020221) 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 31 ways as a sum of consecutive naturals, for example, 1961218316 + ... + 1961330538.

It is an arithmetic number, because the mean of its divisors is an integer number (8144769024000).

Almost surely, 2^{220100100021221} is an apocalyptic number.

It is an amenable number.

220100100021221 is a deficient number, since it is larger than the sum of its proper divisors (40532508746779).

220100100021221 is a wasteful number, since it uses less digits than its factorization.

220100100021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146129.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220100100021221 its reverse (122120001001022), we get a palindrome (342220101022243).

The spelling of 220100100021221 in words is "two hundred twenty trillion, one hundred billion, one hundred million, twenty-one thousand, two hundred twenty-one".