1001112121003 has 2 divisors, whose sum is σ = 1001112121004. Its totient is φ = 1001112121002.

The previous prime is 1001112120941. The next prime is 1001112121033. The reversal of 1001112121003 is 3001212111001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1001112121003 - 2¹⁷ = 1001111989931 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001112121033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500556060501 + 500556060502.

It is an arithmetic number, because the mean of its divisors is an integer number (500556060502).

Almost surely, 2^{1001112121003} is an apocalyptic number.

1001112121003 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001112121003 is an equidigital number, since it uses as much as digits as its factorization.

1001112121003 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1001112121003 its reverse (3001212111001), we get a palindrome (4002324232004).

The spelling of 1001112121003 in words is "one trillion, one billion, one hundred twelve million, one hundred twenty-one thousand, three".