100001011101071 has 2 divisors, whose sum is σ = 100001011101072. Its totient is φ = 100001011101070.

The previous prime is 100001011100989. The next prime is 100001011101091. The reversal of 100001011101071 is 170101110100001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100001011101071 - 2¹⁴ = 100001011084687 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001011101091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000505550535 + 50000505550536.

It is an arithmetic number, because the mean of its divisors is an integer number (50000505550536).

Almost surely, 2^{100001011101071} is an apocalyptic number.

100001011101071 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001011101071 is an equidigital number, since it uses as much as digits as its factorization.

100001011101071 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 100001011101071 its reverse (170101110100001), we get a palindrome (270102121201072).

The spelling of 100001011101071 in words is "one hundred trillion, one billion, eleven million, one hundred one thousand, seventy-one".