221003323300122 has 96 divisors (see below), whose sum is σ = 500761669951872. Its totient is φ = 64945036464000.

The previous prime is 221003323300093. The next prime is 221003323300169.

221003323300122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 221003323300092 and 221003323300101.

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 47 ways as a sum of consecutive naturals, for example, 31999113 + ... + 38287724.

It is an arithmetic number, because the mean of its divisors is an integer number (5216267395332).

Almost surely, 2^{221003323300122} is an apocalyptic number.

221003323300122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221003323300122 is an abundant number, since it is smaller than the sum of its proper divisors (279758346651750).

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

221003323300122 is a wasteful number, since it uses less digits than its factorization.

221003323300122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70286996 (or 70286985 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The spelling of 221003323300122 in words is "two hundred twenty-one trillion, three billion, three hundred twenty-three million, three hundred thousand, one hundred twenty-two".