221221000122122 has 128 divisors (see below), whose sum is σ = 463709038657536. Its totient is φ = 76993545816000.

The previous prime is 221221000122103. The next prime is 221221000122167.

221221000122122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 221221000122094 and 221221000122103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7219904 + ... + 22238907.

It is an arithmetic number, because the mean of its divisors is an integer number (3622726864512).

Almost surely, 2^{221221000122122} is an apocalyptic number.

221221000122122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221221000122122 is an abundant number, since it is smaller than the sum of its proper divisors (242488038535414).

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

221221000122122 is a wasteful number, since it uses less digits than its factorization.

221221000122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29458897 (or 29458875 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 221221000 and 122122, that added together give a palindrome (221343122).

The spelling of 221221000122122 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, one hundred twenty-two thousand, one hundred twenty-two".