1003123121101 has 4 divisors (see below), whose sum is σ = 1003958362204. Its totient is φ = 1002287880000.

The previous prime is 1003123121087. The next prime is 1003123121173. The reversal of 1003123121101 is 1011213213001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5062180201 + 998060940900 = 71149^2 + 999030^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003123121101 - 2³⁵ = 968763382733 is a prime.

It is a super-2 number, since 2×1003123121101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003123121201) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 417618750 + ... + 417621151.

It is an arithmetic number, because the mean of its divisors is an integer number (250989590551).

Almost surely, 2^{1003123121101} is an apocalyptic number.

It is an amenable number.

1003123121101 is a deficient number, since it is larger than the sum of its proper divisors (835241103).

1003123121101 is an equidigital number, since it uses as much as digits as its factorization.

1003123121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835241102.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1003123121101 its reverse (1011213213001), we get a palindrome (2014336334102).

The spelling of 1003123121101 in words is "one trillion, three billion, one hundred twenty-three million, one hundred twenty-one thousand, one hundred one".