10002200201121 has 64 divisors (see below), whose sum is σ = 14692628054016. Its totient is φ = 6024988569600.

The previous prime is 10002200201111. The next prime is 10002200201131. The reversal of 10002200201121 is 12110200220001.

It is an interprime number because it is at equal distance from previous prime (10002200201111) and next prime (10002200201131).

It is not a de Polignac number, because 10002200201121 - 2³⁵ = 9967840462753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002200201097 and 10002200201106.

It is not an unprimeable number, because it can be changed into a prime (10002200201111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 765682836 + ... + 765695898.

It is an arithmetic number, because the mean of its divisors is an integer number (229572313344).

Almost surely, 2^{10002200201121} is an apocalyptic number.

It is an amenable number.

10002200201121 is a deficient number, since it is larger than the sum of its proper divisors (4690427852895).

10002200201121 is a wasteful number, since it uses less digits than its factorization.

10002200201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16942.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10002200201121 its reverse (12110200220001), we get a palindrome (22112400421122).

The spelling of 10002200201121 in words is "ten trillion, two billion, two hundred million, two hundred one thousand, one hundred twenty-one".