10003011322121 has 16 divisors (see below), whose sum is σ = 10639878560640. Its totient is φ = 9371544994560.

The previous prime is 10003011322097. The next prime is 10003011322127. The reversal of 10003011322121 is 12122311030001.

It is a cyclic number.

It is not a de Polignac number, because 10003011322121 - 2¹⁰ = 10003011321097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 10003011322121.

It is not an unprimeable number, because it can be changed into a prime (10003011322127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18699050 + ... + 19226556.

It is an arithmetic number, because the mean of its divisors is an integer number (664992410040).

Almost surely, 2^{10003011322121} is an apocalyptic number.

It is an amenable number.

10003011322121 is a deficient number, since it is larger than the sum of its proper divisors (636867238519).

10003011322121 is a wasteful number, since it uses less digits than its factorization.

10003011322121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532624.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10003011322121 its reverse (12122311030001), we get a palindrome (22125322352122).

The spelling of 10003011322121 in words is "ten trillion, three billion, eleven million, three hundred twenty-two thousand, one hundred twenty-one".