10010011200181 has 2 divisors, whose sum is σ = 10010011200182. Its totient is φ = 10010011200180.

The previous prime is 10010011200031. The next prime is 10010011200257. The reversal of 10010011200181 is 18100211001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6508749000625 + 3501262199556 = 2551225^2 + 1871166^2 .

It is an emirp because it is prime and its reverse (18100211001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10010011200181 - 2¹¹ = 10010011198133 is a prime.

It is a super-2 number, since 2×10010011200181² (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 (10010011200881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005005600090 + 5005005600091.

It is an arithmetic number, because the mean of its divisors is an integer number (5005005600091).

Almost surely, 2^{10010011200181} is an apocalyptic number.

It is an amenable number.

10010011200181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010011200181 is an equidigital number, since it uses as much as digits as its factorization.

10010011200181 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 10010011200181 its reverse (18100211001001), we get a palindrome (28110222201182).

The spelling of 10010011200181 in words is "ten trillion, ten billion, eleven million, two hundred thousand, one hundred eighty-one".