101100031001 has 2 divisors, whose sum is σ = 101100031002. Its totient is φ = 101100031000.

The previous prime is 101100030989. The next prime is 101100031003. The reversal of 101100031001 is 100130001101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99474006025 + 1626024976 = 315395^2 + 40324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100031001 is a prime.

It is a super-2 number, since 2×101100031001² (a number of 23 digits) contains 22 as substring.

Together with 101100031003, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101100031001.

It is not a weakly prime, because it can be changed into another prime (101100031003) 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, 50550015500 + 50550015501.

It is an arithmetic number, because the mean of its divisors is an integer number (50550015501).

Almost surely, 2^101100031001 is an apocalyptic number.

It is an amenable number.

101100031001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100031001 is an equidigital number, since it uses as much as digits as its factorization.

101100031001 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 101100031001 its reverse (100130001101), we get a palindrome (201230032102).

The spelling of 101100031001 in words is "one hundred one billion, one hundred million, thirty-one thousand, one".