220221221020122 has 128 divisors (see below), whose sum is σ = 521301798420480. Its totient is φ = 60713464593600.

The previous prime is 220221221020069. The next prime is 220221221020147. The reversal of 220221221020122 is 221020122122022.

220221221020122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5418942279 + ... + 5418982917.

It is an arithmetic number, because the mean of its divisors is an integer number (4072670300160).

Almost surely, 2^{220221221020122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220221221020122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260650899210240).

220221221020122 is an abundant number, since it is smaller than the sum of its proper divisors (301080577400358).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220221221020122 is a wasteful number, since it uses less digits than its factorization.

220221221020122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76928.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 220221221020122 its reverse (221020122122022), we get a palindrome (441241343142144).

The spelling of 220221221020122 in words is "two hundred twenty trillion, two hundred twenty-one billion, two hundred twenty-one million, twenty thousand, one hundred twenty-two".