1000103320221 has 32 divisors (see below), whose sum is σ = 1358538048000. Its totient is φ = 654315936768.

The previous prime is 1000103320213. The next prime is 1000103320243. The reversal of 1000103320221 is 1220233010001.

It is not a de Polignac number, because 1000103320221 - 2³ = 1000103320213 is a prime.

It is a super-2 number, since 2×1000103320221² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1000103320221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000103320201) 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 31 ways as a sum of consecutive naturals, for example, 27586935 + ... + 27623163.

It is an arithmetic number, because the mean of its divisors is an integer number (42454314000).

Almost surely, 2^{1000103320221} is an apocalyptic number.

It is an amenable number.

1000103320221 is a deficient number, since it is larger than the sum of its proper divisors (358434727779).

1000103320221 is a wasteful number, since it uses less digits than its factorization.

1000103320221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37013.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1000103320221 its reverse (1220233010001), we get a palindrome (2220336330222).

The spelling of 1000103320221 in words is "one trillion, one hundred three million, three hundred twenty thousand, two hundred twenty-one".