12200211100001 has 2 divisors, whose sum is σ = 12200211100002. Its totient is φ = 12200211100000.

The previous prime is 12200211099983. The next prime is 12200211100003. The reversal of 12200211100001 is 10000111200221.

12200211100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7093406589025 + 5106804510976 = 2663345^2 + 2259824^2 .

It is an emirp because it is prime and its reverse (10000111200221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12200211100001 - 2²² = 12200206905697 is a prime.

It is a super-2 number, since 2×12200211100001² (a number of 27 digits) contains 22 as substring.

Together with 12200211100003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12200211100003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100105550000 + 6100105550001.

It is an arithmetic number, because the mean of its divisors is an integer number (6100105550001).

Almost surely, 2^{12200211100001} is an apocalyptic number.

It is an amenable number.

12200211100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200211100001 is an equidigital number, since it uses as much as digits as its factorization.

12200211100001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12200211100001 its reverse (10000111200221), we get a palindrome (22200322300222).

The spelling of 12200211100001 in words is "twelve trillion, two hundred billion, two hundred eleven million, one hundred thousand, one".