221210122122 has 80 divisors (see below), whose sum is σ = 541426371552. Its totient is φ = 66947770080.

The previous prime is 221210122109. The next prime is 221210122123. The reversal of 221210122122 is 221221012122.

It is a happy number.

221210122122 is digitally balanced in base 3, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 221210122095 and 221210122104.

It is not an unprimeable number, because it can be changed into a prime (221210122123) 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 39 ways as a sum of consecutive naturals, for example, 1323568 + ... + 1481300.

Almost surely, 2^221210122122 is an apocalyptic number.

221210122122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221210122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270713185776).

221210122122 is an abundant number, since it is smaller than the sum of its proper divisors (320216249430).

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

221210122122 is a wasteful number, since it uses less digits than its factorization.

221210122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158545 (or 158536 counting only the distinct ones).

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

Adding to 221210122122 its reverse (221221012122), we get a palindrome (442431134244).

Subtracting 221210122122 from its reverse (221221012122), we obtain a square (10890000 = 3300²).

The spelling of 221210122122 in words is "two hundred twenty-one billion, two hundred ten million, one hundred twenty-two thousand, one hundred twenty-two".