2002212100181 has 2 divisors, whose sum is σ = 2002212100182. Its totient is φ = 2002212100180.

The previous prime is 2002212100169. The next prime is 2002212100223. The reversal of 2002212100181 is 1810012122002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2001857116900 + 354983281 = 1414870^2 + 18841^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002212100181 is a prime.

It is a super-2 number, since 2×2002212100181² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002212100111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001106050090 + 1001106050091.

It is an arithmetic number, because the mean of its divisors is an integer number (1001106050091).

Almost surely, 2^{2002212100181} is an apocalyptic number.

It is an amenable number.

2002212100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002212100181 is an equidigital number, since it uses as much as digits as its factorization.

2002212100181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 2002212100181 its reverse (1810012122002), we get a palindrome (3812224222183).

The spelling of 2002212100181 in words is "two trillion, two billion, two hundred twelve million, one hundred thousand, one hundred eighty-one".