21201202112201 has 2 divisors, whose sum is σ = 21201202112202. Its totient is φ = 21201202112200.

The previous prime is 21201202112183. The next prime is 21201202112203. The reversal of 21201202112201 is 10221120210212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21193685395600 + 7516716601 = 4603660^2 + 86699^2 .

It is a cyclic number.

It is not a de Polignac number, because 21201202112201 - 2⁴² = 16803155601097 is a prime.

It is a super-2 number, since 2×21201202112201² (a number of 27 digits) contains 22 as substring.

Together with 21201202112203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21201202112201.

It is not a weakly prime, because it can be changed into another prime (21201202112203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10600601056100 + 10600601056101.

It is an arithmetic number, because the mean of its divisors is an integer number (10600601056101).

Almost surely, 2^{21201202112201} is an apocalyptic number.

It is an amenable number.

21201202112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21201202112201 is an equidigital number, since it uses as much as digits as its factorization.

21201202112201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21201202112201 its reverse (10221120210212), we get a palindrome (31422322322413).

The spelling of 21201202112201 in words is "twenty-one trillion, two hundred one billion, two hundred two million, one hundred twelve thousand, two hundred one".