221331242133122 has 48 divisors (see below), whose sum is σ = 365812344428832. Its totient is φ = 100359899640000.

The previous prime is 221331242133121. The next prime is 221331242133143.

221331242133122 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (221331242133121) 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, 243009797 + ... + 243918887.

It is an arithmetic number, because the mean of its divisors is an integer number (7621090508934).

Almost surely, 2^{221331242133122} is an apocalyptic number.

221331242133122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221331242133122 is a deficient number, since it is larger than the sum of its proper divisors (144481102295710).

221331242133122 is a wasteful number, since it uses less digits than its factorization.

221331242133122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911567 (or 911556 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The spelling of 221331242133122 in words is "two hundred twenty-one trillion, three hundred thirty-one billion, two hundred forty-two million, one hundred thirty-three thousand, one hundred twenty-two".