1010000010181 has 2 divisors, whose sum is σ = 1010000010182. Its totient is φ = 1010000010180.

The previous prime is 1010000010163. The next prime is 1010000010191. The reversal of 1010000010181 is 1810100000101.

1010000010181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1009203077281 + 796932900 = 1004591^2 + 28230^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010000010181 - 2¹¹ = 1010000008133 is a prime.

It is a super-2 number, since 2×1010000010181² (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 (1010000010191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505000005090 + 505000005091.

It is an arithmetic number, because the mean of its divisors is an integer number (505000005091).

Almost surely, 2^{1010000010181} is an apocalyptic number.

It is an amenable number.

1010000010181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010000010181 is an equidigital number, since it uses as much as digits as its factorization.

1010000010181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1010000010181 its reverse (1810100000101), we get a palindrome (2820100010282).

The spelling of 1010000010181 in words is "one trillion, ten billion, ten thousand, one hundred eighty-one".