10002113221121 has 4 divisors (see below), whose sum is σ = 11430986538432. Its totient is φ = 8573239903812.

The previous prime is 10002113221043. The next prime is 10002113221127. The reversal of 10002113221121 is 12112231120001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10002113221121 - 2³⁰ = 10001039479297 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 10002113221121.

It is not an unprimeable number, because it can be changed into a prime (10002113221127) 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, 714436658645 + ... + 714436658658.

It is an arithmetic number, because the mean of its divisors is an integer number (2857746634608).

Almost surely, 2^{10002113221121} is an apocalyptic number.

It is an amenable number.

10002113221121 is a deficient number, since it is larger than the sum of its proper divisors (1428873317311).

10002113221121 is an equidigital number, since it uses as much as digits as its factorization.

10002113221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428873317310.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10002113221121 its reverse (12112231120001), we get a palindrome (22114344341122).

The spelling of 10002113221121 in words is "ten trillion, two billion, one hundred thirteen million, two hundred twenty-one thousand, one hundred twenty-one".