100172131 has 2 divisors, whose sum is σ = 100172132. Its totient is φ = 100172130.

The previous prime is 100172113. The next prime is 100172141. The reversal of 100172131 is 131271001.

Together with previous prime (100172113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is an emirp because it is prime and its reverse (131271001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100172131 - 2⁹ = 100171619 is a prime.

It is a super-2 number, since 2×100172131² = 20068911658162322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100172141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50086065 + 50086066.

It is an arithmetic number, because the mean of its divisors is an integer number (50086066).

Almost surely, 2^100172131 is an apocalyptic number.

100172131 is a deficient number, since it is larger than the sum of its proper divisors (1).

100172131 is an equidigital number, since it uses as much as digits as its factorization.

100172131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 100172131 is about 10008.6028495490. The cubic root of 100172131 is about 464.4250511431.

The spelling of 100172131 in words is "one hundred million, one hundred seventy-two thousand, one hundred thirty-one".