210210102100181 has 2 divisors, whose sum is σ = 210210102100182. Its totient is φ = 210210102100180.

The previous prime is 210210102100147. The next prime is 210210102100223. The reversal of 210210102100181 is 181001201012012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135647740597681 + 74562361502500 = 11646791^2 + 8634950^2 .

It is a cyclic number.

It is not a de Polignac number, because 210210102100181 - 2¹⁰ = 210210102099157 is a prime.

It is a super-2 number, since 2×210210102100181² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210210102100781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105105051050090 + 105105051050091.

It is an arithmetic number, because the mean of its divisors is an integer number (105105051050091).

Almost surely, 2^{210210102100181} is an apocalyptic number.

It is an amenable number.

210210102100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

210210102100181 is an equidigital number, since it uses as much as digits as its factorization.

210210102100181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 210210102100181 its reverse (181001201012012), we get a palindrome (391211303112193).

The spelling of 210210102100181 in words is "two hundred ten trillion, two hundred ten billion, one hundred two million, one hundred thousand, one hundred eighty-one".