1012120011003 has 16 divisors (see below), whose sum is σ = 1393610264576. Its totient is φ = 652706493120.

The previous prime is 1012120010953. The next prime is 1012120011047. The reversal of 1012120011003 is 3001100212101.

It is not a de Polignac number, because 1012120011003 - 2¹³ = 1012120002811 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1012120011003.

It is not an unprimeable number, because it can be changed into a prime (1012120011053) 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 15 ways as a sum of consecutive naturals, for example, 2061850 + ... + 2505087.

It is an arithmetic number, because the mean of its divisors is an integer number (87100641536).

Almost surely, 2^{1012120011003} is an apocalyptic number.

1012120011003 is a deficient number, since it is larger than the sum of its proper divisors (381490253573).

1012120011003 is a wasteful number, since it uses less digits than its factorization.

1012120011003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569354.

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

Adding to 1012120011003 its reverse (3001100212101), we get a palindrome (4013220223104).

The spelling of 1012120011003 in words is "one trillion, twelve billion, one hundred twenty million, eleven thousand, three".