10002221201121 has 32 divisors (see below), whose sum is σ = 14178794760960. Its totient is φ = 6259891486464.

The previous prime is 10002221201113. The next prime is 10002221201173. The reversal of 10002221201121 is 12110212220001.

It is not a de Polignac number, because 10002221201121 - 2³ = 10002221201113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10002221201121.

It is not an unprimeable number, because it can be changed into a prime (10002221201191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3607956 + ... + 5746458.

It is an arithmetic number, because the mean of its divisors is an integer number (443087336280).

Almost surely, 2^{10002221201121} is an apocalyptic number.

It is an amenable number.

10002221201121 is a deficient number, since it is larger than the sum of its proper divisors (4176573559839).

10002221201121 is a wasteful number, since it uses less digits than its factorization.

10002221201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140025.

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

Adding to 10002221201121 its reverse (12110212220001), we get a palindrome (22112433421122).

The spelling of 10002221201121 in words is "ten trillion, two billion, two hundred twenty-one million, two hundred one thousand, one hundred twenty-one".