2110001010181 has 2 divisors, whose sum is σ = 2110001010182. Its totient is φ = 2110001010180.

The previous prime is 2110001010179. The next prime is 2110001010199. The reversal of 2110001010181 is 1810101000112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2102888617956 + 7112392225 = 1450134^2 + 84335^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110001010181 - 2¹ = 2110001010179 is a prime.

It is a super-2 number, since 2×2110001010181² (a number of 25 digits) contains 22 as substring.

Together with 2110001010179, 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 (2110001010881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055000505090 + 1055000505091.

It is an arithmetic number, because the mean of its divisors is an integer number (1055000505091).

Almost surely, 2^{2110001010181} is an apocalyptic number.

It is an amenable number.

2110001010181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110001010181 is an equidigital number, since it uses as much as digits as its factorization.

2110001010181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 2110001010181 its reverse (1810101000112), we get a palindrome (3920102010293).

The spelling of 2110001010181 in words is "two trillion, one hundred ten billion, one million, ten thousand, one hundred eighty-one".