100100110101071 has 2 divisors, whose sum is σ = 100100110101072. Its totient is φ = 100100110101070.

The previous prime is 100100110101031. The next prime is 100100110101077. The reversal of 100100110101071 is 170101011001001.

It is a strong prime.

It is an emirp because it is prime and its reverse (170101011001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100110101071 - 2¹⁴ = 100100110084687 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100110101077) 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, 50050055050535 + 50050055050536.

It is an arithmetic number, because the mean of its divisors is an integer number (50050055050536).

Almost surely, 2^{100100110101071} is an apocalyptic number.

100100110101071 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100110101071 is an equidigital number, since it uses as much as digits as its factorization.

100100110101071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 100100110101071 its reverse (170101011001001), we get a palindrome (270201121102072).

The spelling of 100100110101071 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred one thousand, seventy-one".