100031100181 has 2 divisors, whose sum is σ = 100031100182. Its totient is φ = 100031100180.

The previous prime is 100031100179. The next prime is 100031100209. The reversal of 100031100181 is 181001130001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58157663281 + 41873436900 = 241159^2 + 204630^2 .

It is a cyclic number.

It is not a de Polignac number, because 100031100181 - 2¹ = 100031100179 is a prime.

It is a super-2 number, since 2×100031100181² (a number of 23 digits) contains 22 as substring.

Together with 100031100179, 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 (100031100101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50015550090 + 50015550091.

It is an arithmetic number, because the mean of its divisors is an integer number (50015550091).

Almost surely, 2^100031100181 is an apocalyptic number.

It is an amenable number.

100031100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100031100181 is an equidigital number, since it uses as much as digits as its factorization.

100031100181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 100031100181 its reverse (181001130001), we get a palindrome (281032230182).

The spelling of 100031100181 in words is "one hundred billion, thirty-one million, one hundred thousand, one hundred eighty-one".