100006811381 has 2 divisors, whose sum is σ = 100006811382. Its totient is φ = 100006811380.

The previous prime is 100006811321. The next prime is 100006811383. The reversal of 100006811381 is 183118600001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98873142481 + 1133668900 = 314441^2 + 33670^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100006811381 is a prime.

It is a super-2 number, since 2×100006811381² (a number of 23 digits) contains 22 as substring.

Together with 100006811383, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100006811383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50003405690 + 50003405691.

It is an arithmetic number, because the mean of its divisors is an integer number (50003405691).

Almost surely, 2^100006811381 is an apocalyptic number.

It is an amenable number.

100006811381 is a deficient number, since it is larger than the sum of its proper divisors (1).

100006811381 is an equidigital number, since it uses as much as digits as its factorization.

100006811381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 100006811381 in words is "one hundred billion, six million, eight hundred eleven thousand, three hundred eighty-one".