221331202133122 has 32 divisors (see below), whose sum is σ = 339758979494400. Its totient is φ = 108112598352000.

The previous prime is 221331202133117. The next prime is 221331202133143.

221331202133122 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4239504 + ... + 21462427.

It is an arithmetic number, because the mean of its divisors is an integer number (10617468109200).

Almost surely, 2^{221331202133122} is an apocalyptic number.

221331202133122 is a deficient number, since it is larger than the sum of its proper divisors (118427777361278).

221331202133122 is a wasteful number, since it uses less digits than its factorization.

221331202133122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25702602.

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 22133120 and 2133122, that added together give a palindrome (24266242).

The spelling of 221331202133122 in words is "two hundred twenty-one trillion, three hundred thirty-one billion, two hundred two million, one hundred thirty-three thousand, one hundred twenty-two".