221145323541122 has 32 divisors (see below), whose sum is σ = 338723601783552. Its totient is φ = 108259665502464.

The previous prime is 221145323541113. The next prime is 221145323541179.

221145323541122 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1358914523 + ... + 1359077249.

It is an arithmetic number, because the mean of its divisors is an integer number (10585112555736).

Almost surely, 2^{221145323541122} is an apocalyptic number.

221145323541122 is a deficient number, since it is larger than the sum of its proper divisors (117578278242430).

221145323541122 is a wasteful number, since it uses less digits than its factorization.

221145323541122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230882.

The product of its digits is 115200, while the sum is 38.

The spelling of 221145323541122 in words is "two hundred twenty-one trillion, one hundred forty-five billion, three hundred twenty-three million, five hundred forty-one thousand, one hundred twenty-two".