10120000181 has 2 divisors, whose sum is σ = 10120000182. Its totient is φ = 10120000180.

The previous prime is 10120000169. The next prime is 10120000211. The reversal of 10120000181 is 18100002101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7610992081 + 2509008100 = 87241^2 + 50090^2 .

It is an emirp because it is prime and its reverse (18100002101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10120000181 - 2⁶ = 10120000117 is a prime.

It is a super-2 number, since 2×10120000181² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10120000151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060000090 + 5060000091.

It is an arithmetic number, because the mean of its divisors is an integer number (5060000091).

Almost surely, 2^10120000181 is an apocalyptic number.

It is an amenable number.

10120000181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120000181 is an equidigital number, since it uses as much as digits as its factorization.

10120000181 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 14.

Adding to 10120000181 its reverse (18100002101), we get a palindrome (28220002282).

The spelling of 10120000181 in words is "ten billion, one hundred twenty million, one hundred eighty-one", and thus it is an aban number.