221222101222122 has 384 divisors, whose sum is σ = 625147939584000. Its totient is φ = 50732019740160.

The previous prime is 221222101222099. The next prime is 221222101222123.

It is a happy number.

221222101222122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 221222101222092 and 221222101222101.

It is not an unprimeable number, because it can be changed into a prime (221222101222123) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 143455129 + ... + 144989027.

It is an arithmetic number, because the mean of its divisors is an integer number (1627989426000).

Almost surely, 2^{221222101222122} is an apocalyptic number.

221222101222122 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 221222101222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312573969792000).

221222101222122 is an abundant number, since it is smaller than the sum of its proper divisors (403925838361878).

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

221222101222122 is a wasteful number, since it uses less digits than its factorization.

221222101222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534042 (or 1534031 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 22122210 and 1222122, that added together give a palindrome (23344332).

The spelling of 221222101222122 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, one hundred one million, two hundred twenty-two thousand, one hundred twenty-two".