200210222100181 has 2 divisors, whose sum is σ = 200210222100182. Its totient is φ = 200210222100180.

The previous prime is 200210222100179. The next prime is 200210222100211. The reversal of 200210222100181 is 181001222012002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 149709173224900 + 50501048875281 = 12235570^2 + 7106409^2 .

It is a cyclic number.

It is not a de Polignac number, because 200210222100181 - 2¹ = 200210222100179 is a prime.

It is a super-2 number, since 2×200210222100181² (a number of 29 digits) contains 22 as substring.

Together with 200210222100179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200210222100151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100105111050090 + 100105111050091.

It is an arithmetic number, because the mean of its divisors is an integer number (100105111050091).

Almost surely, 2^{200210222100181} is an apocalyptic number.

It is an amenable number.

200210222100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

200210222100181 is an equidigital number, since it uses as much as digits as its factorization.

200210222100181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 200210222100181 its reverse (181001222012002), we get a palindrome (381211444112183).

The spelling of 200210222100181 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-two million, one hundred thousand, one hundred eighty-one".