1000103121 has 12 divisors (see below), whose sum is σ = 1491193600. Its totient is φ = 645227640.

The previous prime is 1000103101. The next prime is 1000103129. The reversal of 1000103121 is 1213010001.

It is not a de Polignac number, because 1000103121 - 2¹⁵ = 1000070353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000103129) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1792021 + ... + 1792578.

Almost surely, 2^1000103121 is an apocalyptic number.

It is an amenable number.

1000103121 is a deficient number, since it is larger than the sum of its proper divisors (491090479).

1000103121 is a wasteful number, since it uses less digits than its factorization.

1000103121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584636 (or 3584633 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1000103121 is about 31624.4070458246. The cubic root of 1000103121 is about 1000.0343724852.

Adding to 1000103121 its reverse (1213010001), we get a palindrome (2213113122).

The spelling of 1000103121 in words is "one billion, one hundred three thousand, one hundred twenty-one".