1001101112071 has 2 divisors, whose sum is σ = 1001101112072. Its totient is φ = 1001101112070.

The previous prime is 1001101112057. The next prime is 1001101112131. The reversal of 1001101112071 is 1702111011001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1001101112071 - 2³¹ = 998953628423 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001101112041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550556035 + 500550556036.

It is an arithmetic number, because the mean of its divisors is an integer number (500550556036).

Almost surely, 2^{1001101112071} is an apocalyptic number.

1001101112071 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001101112071 is an equidigital number, since it uses as much as digits as its factorization.

1001101112071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 16.

Adding to 1001101112071 its reverse (1702111011001), we get a palindrome (2703212123072).

The spelling of 1001101112071 in words is "one trillion, one billion, one hundred one million, one hundred twelve thousand, seventy-one".