221210242012122 has 48 divisors (see below), whose sum is σ = 493555058393376. Its totient is φ = 66032908048800.

The previous prime is 221210242012093. The next prime is 221210242012127.

221210242012122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 221210242012092 and 221210242012101.

It is not an unprimeable number, because it can be changed into a prime (221210242012127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2273811829 + ... + 2273909112.

It is an arithmetic number, because the mean of its divisors is an integer number (10282397049862).

Almost surely, 2^{221210242012122} is an apocalyptic number.

221210242012122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221210242012122 is an abundant number, since it is smaller than the sum of its proper divisors (272344816381254).

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

221210242012122 is a wasteful number, since it uses less digits than its factorization.

221210242012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4547721035 (or 4547721024 counting only the distinct ones).

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

The spelling of 221210242012122 in words is "two hundred twenty-one trillion, two hundred ten billion, two hundred forty-two million, twelve thousand, one hundred twenty-two".