10121001013003 has 16 divisors (see below), whose sum is σ = 10521047357856. Its totient is φ = 9727641527040.

The previous prime is 10121001012943. The next prime is 10121001013037. The reversal of 10121001013003 is 30031010012101.

It is a cyclic number.

It is not a de Polignac number, because 10121001013003 - 2⁴¹ = 7921977757451 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121001013603) 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, 25788975 + ... + 26178487.

It is an arithmetic number, because the mean of its divisors is an integer number (657565459866).

Almost surely, 2^{10121001013003} is an apocalyptic number.

10121001013003 is a deficient number, since it is larger than the sum of its proper divisors (400046344853).

10121001013003 is an equidigital number, since it uses as much as digits as its factorization.

10121001013003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398094.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10121001013003 its reverse (30031010012101), we get a palindrome (40152011025104).

The spelling of 10121001013003 in words is "ten trillion, one hundred twenty-one billion, one million, thirteen thousand, three".