110001001000181 has 2 divisors, whose sum is σ = 110001001000182. Its totient is φ = 110001001000180.

The previous prime is 110001001000157. The next prime is 110001001000207. The reversal of 110001001000181 is 181000100100011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109913626960900 + 87374039281 = 10483970^2 + 295591^2 .

It is a cyclic number.

It is not a de Polignac number, because 110001001000181 - 2²² = 110000996805877 is a prime.

It is a super-2 number, since 2×110001001000181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110001001000381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000500500090 + 55000500500091.

It is an arithmetic number, because the mean of its divisors is an integer number (55000500500091).

Almost surely, 2^{110001001000181} is an apocalyptic number.

It is an amenable number.

110001001000181 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001001000181 is an equidigital number, since it uses as much as digits as its factorization.

110001001000181 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 110001001000181 its reverse (181000100100011), we get a palindrome (291001101100192).

The spelling of 110001001000181 in words is "one hundred ten trillion, one billion, one million, one hundred eighty-one", and thus it is an aban number.