10071077074011 has 32 divisors (see below), whose sum is σ = 14935277376000. Its totient is φ = 6707231257824.

The previous prime is 10071077073923. The next prime is 10071077074099. The reversal of 10071077074011 is 11047077017001.

It is an interprime number because it is at equal distance from previous prime (10071077073923) and next prime (10071077074099).

It is not a de Polignac number, because 10071077074011 - 2³⁰ = 10070003332187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10071077074411) 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 in 31 ways as a sum of consecutive naturals, for example, 114766810 + ... + 114854528.

It is an arithmetic number, because the mean of its divisors is an integer number (466727418000).

Almost surely, 2^{10071077074011} is an apocalyptic number.

10071077074011 is a deficient number, since it is larger than the sum of its proper divisors (4864200301989).

10071077074011 is a wasteful number, since it uses less digits than its factorization.

10071077074011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92000 (or 91994 counting only the distinct ones).

The product of its (nonzero) digits is 9604, while the sum is 36.

The spelling of 10071077074011 in words is "ten trillion, seventy-one billion, seventy-seven million, seventy-four thousand, eleven".