10012112001181 has 2 divisors, whose sum is σ = 10012112001182. Its totient is φ = 10012112001180.

The previous prime is 10012112001179. The next prime is 10012112001211. The reversal of 10012112001181 is 18110021121001.

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., 5326471647225 + 4685640353956 = 2307915^2 + 2164634^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012112001181 - 2¹ = 10012112001179 is a prime.

It is a super-2 number, since 2×10012112001181² (a number of 27 digits) contains 22 as substring.

Together with 10012112001179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10012112701181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006056000590 + 5006056000591.

It is an arithmetic number, because the mean of its divisors is an integer number (5006056000591).

Almost surely, 2^{10012112001181} is an apocalyptic number.

It is an amenable number.

10012112001181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012112001181 is an equidigital number, since it uses as much as digits as its factorization.

10012112001181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 10012112001181 its reverse (18110021121001), we get a palindrome (28122133122182).

The spelling of 10012112001181 in words is "ten trillion, twelve billion, one hundred twelve million, one thousand, one hundred eighty-one".