2100108181 has 2 divisors, whose sum is σ = 2100108182. Its totient is φ = 2100108180.

The previous prime is 2100108163. The next prime is 2100108203. The reversal of 2100108181 is 1818010012.

It is an a-pointer prime, because the next prime (2100108203) can be obtained adding 2100108181 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2084379025 + 15729156 = 45655^2 + 3966^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100108181 - 2¹¹ = 2100106133 is a prime.

It is a super-2 number, since 2×2100108181² = 8820908743806257522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100108121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050054090 + 1050054091.

It is an arithmetic number, because the mean of its divisors is an integer number (1050054091).

Almost surely, 2^2100108181 is an apocalyptic number.

2100108181 is the 28984-th centered pentagonal number.

It is an amenable number.

2100108181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100108181 is an equidigital number, since it uses as much as digits as its factorization.

2100108181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 22.

The square root of 2100108181 is about 45826.9372858366. The cubic root of 2100108181 is about 1280.6011541868.

Adding to 2100108181 its reverse (1818010012), we get a palindrome (3918118193).

The spelling of 2100108181 in words is "two billion, one hundred million, one hundred eight thousand, one hundred eighty-one".