100131210001 has 2 divisors, whose sum is σ = 100131210002. Its totient is φ = 100131210000.

The previous prime is 100131209999. The next prime is 100131210031. The reversal of 100131210001 is 100012131001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99429224976 + 701985025 = 315324^2 + 26495^2 .

It is a cyclic number.

It is not a de Polignac number, because 100131210001 - 2¹ = 100131209999 is a prime.

Together with 100131209999, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 100131210001.

It is not a weakly prime, because it can be changed into another prime (100131210031) 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, 50065605000 + 50065605001.

It is an arithmetic number, because the mean of its divisors is an integer number (50065605001).

Almost surely, 2^100131210001 is an apocalyptic number.

It is an amenable number.

100131210001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131210001 is an equidigital number, since it uses as much as digits as its factorization.

100131210001 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 10.

Adding to 100131210001 its reverse (100012131001), we get a palindrome (200143341002).

The spelling of 100131210001 in words is "one hundred billion, one hundred thirty-one million, two hundred ten thousand, one".