10100011000181 has 2 divisors, whose sum is σ = 10100011000182. Its totient is φ = 10100011000180.

The previous prime is 10100011000153. The next prime is 10100011000199. The reversal of 10100011000181 is 18100011000101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9508995999556 + 591015000625 = 3083666^2 + 768775^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100011000181 - 2²² = 10100006805877 is a prime.

It is a super-2 number, since 2×10100011000181² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100031000181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005500090 + 5050005500091.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005500091).

Almost surely, 2^{10100011000181} is an apocalyptic number.

It is an amenable number.

10100011000181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100011000181 is an equidigital number, since it uses as much as digits as its factorization.

10100011000181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10100011000181 its reverse (18100011000101), we get a palindrome (28200022000282).

The spelling of 10100011000181 in words is "ten trillion, one hundred billion, eleven million, one hundred eighty-one", and thus it is an aban number.