10002120221121 has 64 divisors (see below), whose sum is σ = 16565619916800. Its totient is φ = 5238563284800.

The previous prime is 10002120221029. The next prime is 10002120221143. The reversal of 10002120221121 is 12112202120001.

It is not a de Polignac number, because 10002120221121 - 2²¹ = 10002118123969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10002120221121.

It is not an unprimeable number, because it can be changed into a prime (10002120221321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45296460 + ... + 45516738.

It is an arithmetic number, because the mean of its divisors is an integer number (258837811200).

Almost surely, 2^{10002120221121} is an apocalyptic number.

It is an amenable number.

10002120221121 is a deficient number, since it is larger than the sum of its proper divisors (6563499695679).

10002120221121 is a wasteful number, since it uses less digits than its factorization.

10002120221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224010.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10002120221121 its reverse (12112202120001), we get a palindrome (22114322341122).

The spelling of 10002120221121 in words is "ten trillion, two billion, one hundred twenty million, two hundred twenty-one thousand, one hundred twenty-one".