100106101670891 has 2 divisors, whose sum is σ = 100106101670892. Its totient is φ = 100106101670890.

The previous prime is 100106101670837. The next prime is 100106101670893. The reversal of 100106101670891 is 198076101601001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100106101670891 is a prime.

Together with 100106101670893, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100106101670893) 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, 50053050835445 + 50053050835446.

It is an arithmetic number, because the mean of its divisors is an integer number (50053050835446).

Almost surely, 2^{100106101670891} is an apocalyptic number.

100106101670891 is a deficient number, since it is larger than the sum of its proper divisors (1).

100106101670891 is an equidigital number, since it uses as much as digits as its factorization.

100106101670891 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 41.

The spelling of 100106101670891 in words is "one hundred trillion, one hundred six billion, one hundred one million, six hundred seventy thousand, eight hundred ninety-one".