1003100121 has 6 divisors (see below), whose sum is σ = 1448922410. Its totient is φ = 668733408.

The previous prime is 1003100099. The next prime is 1003100129. The reversal of 1003100121 is 1210013001.

It can be written as a sum of positive squares in only one way, i.e., 853282521 + 149817600 = 29211^2 + 12240^2 .

It is not a de Polignac number, because 1003100121 - 2⁶ = 1003100057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111455569 = 1003100121 / (1 + 0 + 0 + 3 + 1 + 0 + 0 + 1 + 2 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1003100129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55727776 + ... + 55727793.

Almost surely, 2^1003100121 is an apocalyptic number.

It is an amenable number.

1003100121 is a deficient number, since it is larger than the sum of its proper divisors (445822289).

1003100121 is a wasteful number, since it uses less digits than its factorization.

1003100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111455575 (or 111455572 counting only the distinct ones).

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

The square root of 1003100121 is about 31671.7558875412. The cubic root of 1003100121 is about 1001.0323076409.

Adding to 1003100121 its reverse (1210013001), we get a palindrome (2213113122).

It can be divided in two parts, 1003 and 100121, that added together give a square (101124 = 318²).

The spelling of 1003100121 in words is "one billion, three million, one hundred thousand, one hundred twenty-one".