10010121111003 has 32 divisors (see below), whose sum is σ = 14879682764800. Its totient is φ = 5944280929920.

The previous prime is 10010121110989. The next prime is 10010121111049. The reversal of 10010121111003 is 30011112101001.

It is not a de Polignac number, because 10010121111003 - 2¹⁰ = 10010121109979 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 10010121111003.

It is not an unprimeable number, because it can be changed into a prime (10010121111083) 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 31 ways as a sum of consecutive naturals, for example, 11440051 + ... + 12283932.

It is an arithmetic number, because the mean of its divisors is an integer number (464990086400).

Almost surely, 2^{10010121111003} is an apocalyptic number.

10010121111003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10010121111003 is a deficient number, since it is larger than the sum of its proper divisors (4869561653797).

10010121111003 is a wasteful number, since it uses less digits than its factorization.

10010121111003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23724379.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 10010121111003 its reverse (30011112101001), we get a palindrome (40021233212004).

The spelling of 10010121111003 in words is "ten trillion, ten billion, one hundred twenty-one million, one hundred eleven thousand, three".