2102101200181 has 2 divisors, whose sum is σ = 2102101200182. Its totient is φ = 2102101200180.

The previous prime is 2102101200083. The next prime is 2102101200191. The reversal of 2102101200181 is 1810021012012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2100340055025 + 1761145156 = 1449255^2 + 41966^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102101200181 - 2¹¹ = 2102101198133 is a prime.

It is a super-2 number, since 2×2102101200181² (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 (2102101200191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051050600090 + 1051050600091.

It is an arithmetic number, because the mean of its divisors is an integer number (1051050600091).

Almost surely, 2^{2102101200181} is an apocalyptic number.

It is an amenable number.

2102101200181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102101200181 is an equidigital number, since it uses as much as digits as its factorization.

2102101200181 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 19.

Adding to 2102101200181 its reverse (1810021012012), we get a palindrome (3912122212193).

The spelling of 2102101200181 in words is "two trillion, one hundred two billion, one hundred one million, two hundred thousand, one hundred eighty-one".