10001120221121 has 4 divisors (see below), whose sum is σ = 10023696113712. Its totient is φ = 9978544328532.

The previous prime is 10001120221091. The next prime is 10001120221153. The reversal of 10001120221121 is 12112202110001.

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 a de Polignac number, because none of the positive numbers 2^k-10001120221121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001120221096 and 10001120221105.

It is not an unprimeable number, because it can be changed into a prime (10001120221181) 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, 11287945631 + ... + 11287946516.

It is an arithmetic number, because the mean of its divisors is an integer number (2505924028428).

Almost surely, 2^{10001120221121} is an apocalyptic number.

It is an amenable number.

10001120221121 is a deficient number, since it is larger than the sum of its proper divisors (22575892591).

10001120221121 is an equidigital number, since it uses as much as digits as its factorization.

10001120221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22575892590.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10001120221121 its reverse (12112202110001), we get a palindrome (22113322331122).

The spelling of 10001120221121 in words is "ten trillion, one billion, one hundred twenty million, two hundred twenty-one thousand, one hundred twenty-one".