100001010100031 has 2 divisors, whose sum is σ = 100001010100032. Its totient is φ = 100001010100030.

The previous prime is 100001010099961. The next prime is 100001010100037. The reversal of 100001010100031 is 130001010100001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100001010100031 - 2¹⁰ = 100001010099007 is a prime.

It is a super-2 number, since 2×100001010100031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100001010099991 and 100001010100018.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001010100037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000505050015 + 50000505050016.

It is an arithmetic number, because the mean of its divisors is an integer number (50000505050016).

Almost surely, 2^{100001010100031} is an apocalyptic number.

100001010100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001010100031 is an equidigital number, since it uses as much as digits as its factorization.

100001010100031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 100001010100031 its reverse (130001010100001), we get a palindrome (230002020200032).

The spelling of 100001010100031 in words is "one hundred trillion, one billion, ten million, one hundred thousand, thirty-one".