1003112023201 has 8 divisors (see below), whose sum is σ = 1014449796360. Its totient is φ = 991775735808.

The previous prime is 1003112023181. The next prime is 1003112023247. The reversal of 1003112023201 is 1023202113001.

It can be written as a sum of positive squares in 4 ways, for example, as 73384101025 + 929727922176 = 270895^2 + 964224^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1003112023201 - 2²⁹ = 1002575152289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1003112023271) 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 7 ways as a sum of consecutive naturals, for example, 1015585 + ... + 1742881.

It is an arithmetic number, because the mean of its divisors is an integer number (126806224545).

Almost surely, 2^{1003112023201} is an apocalyptic number.

It is an amenable number.

1003112023201 is a deficient number, since it is larger than the sum of its proper divisors (11337773159).

1003112023201 is an equidigital number, since it uses as much as digits as its factorization.

1003112023201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742883.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1003112023201 its reverse (1023202113001), we get a palindrome (2026314136202).

The spelling of 1003112023201 in words is "one trillion, three billion, one hundred twelve million, twenty-three thousand, two hundred one".