10002200011201 has 8 divisors (see below), whose sum is σ = 10105566836904. Its totient is φ = 9898838315520.

The previous prime is 10002200011121. The next prime is 10002200011217. The reversal of 10002200011201 is 10211000220001.

It can be written as a sum of positive squares in 4 ways, for example, as 2636729687601 + 7365470323600 = 1623801^2 + 2713940^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10002200011201 - 2²³ = 10002191622593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002200011301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2700711 + ... + 5224771.

It is an arithmetic number, because the mean of its divisors is an integer number (1263195854613).

Almost surely, 2^{10002200011201} is an apocalyptic number.

It is an amenable number.

10002200011201 is a deficient number, since it is larger than the sum of its proper divisors (103366825703).

10002200011201 is an equidigital number, since it uses as much as digits as its factorization.

10002200011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565011.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10002200011201 its reverse (10211000220001), we get a palindrome (20213200231202).

The spelling of 10002200011201 in words is "ten trillion, two billion, two hundred million, eleven thousand, two hundred one".