10100100181 has 2 divisors, whose sum is σ = 10100100182. Its totient is φ = 10100100180.

The previous prime is 10100100139. The next prime is 10100100191. The reversal of 10100100181 is 18100100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8773319556 + 1326780625 = 93666^2 + 36425^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100100181 - 2¹⁵ = 10100067413 is a prime.

It is a super-2 number, since 2×10100100181² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100100191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050090 + 5050050091.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050091).

Almost surely, 2^10100100181 is an apocalyptic number.

It is an amenable number.

10100100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100181 is an equidigital number, since it uses as much as digits as its factorization.

10100100181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10100100181 its reverse (18100100101), we get a palindrome (28200200282).

The spelling of 10100100181 in words is "ten billion, one hundred million, one hundred thousand, one hundred eighty-one".