221022220122 has 48 divisors (see below), whose sum is σ = 553146527232. Its totient is φ = 63036639360.

The previous prime is 221022220117. The next prime is 221022220127.

221022220122 is a `hidden beast` number, since 221 + 0 + 222 + 201 + 22 = 666.

221022220122 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (221022220117) and next prime (221022220127).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221022220095 and 221022220104.

It is not an unprimeable number, because it can be changed into a prime (221022220127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32828218 + ... + 32834949.

It is an arithmetic number, because the mean of its divisors is an integer number (11523885984).

Almost surely, 2^221022220122 is an apocalyptic number.

221022220122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221022220122 is an abundant number, since it is smaller than the sum of its proper divisors (332124307110).

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

221022220122 is a wasteful number, since it uses less digits than its factorization.

221022220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65663203 (or 65663200 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 221022 and 220122, that added together give a palindrome (441144).

The spelling of 221022220122 in words is "two hundred twenty-one billion, twenty-two million, two hundred twenty thousand, one hundred twenty-two".