100200031 has 2 divisors, whose sum is σ = 100200032. Its totient is φ = 100200030.

The previous prime is 100200013. The next prime is 100200047. The reversal of 100200031 is 130002001.

Together with previous prime (100200013) 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 (130002001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100200031 - 2⁵ = 100199999 is a prime.

It is a super-2 number, since 2×100200031² = 20080092424801922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100199987 and 100200023.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100200011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100015 + 50100016.

It is an arithmetic number, because the mean of its divisors is an integer number (50100016).

Almost surely, 2^100200031 is an apocalyptic number.

100200031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200031 is an equidigital number, since it uses as much as digits as its factorization.

100200031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 100200031 is about 10009.9965534460. The cubic root of 100200031 is about 464.4681644522.

Adding to 100200031 its reverse (130002001), we get a palindrome (230202032).

The spelling of 100200031 in words is "one hundred million, two hundred thousand, thirty-one".