10010112102181 has 2 divisors, whose sum is σ = 10010112102182. Its totient is φ = 10010112102180.

The previous prime is 10010112102131. The next prime is 10010112102209. The reversal of 10010112102181 is 18120121101001.

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., 6327282437281 + 3682829664900 = 2515409^2 + 1919070^2 .

It is an emirp because it is prime and its reverse (18120121101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10010112102181 - 2³⁵ = 9975752363813 is a prime.

It is a super-4 number, since 4×10010112102181⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010112102121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005056051090 + 5005056051091.

It is an arithmetic number, because the mean of its divisors is an integer number (5005056051091).

Almost surely, 2^{10010112102181} is an apocalyptic number.

It is an amenable number.

10010112102181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010112102181 is an equidigital number, since it uses as much as digits as its factorization.

10010112102181 is an evil number, because the sum of its binary digits is even.

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

Adding to 10010112102181 its reverse (18120121101001), we get a palindrome (28130233203182).

The spelling of 10010112102181 in words is "ten trillion, ten billion, one hundred twelve million, one hundred two thousand, one hundred eighty-one".