71000101101001 has 8 divisors (see below), whose sum is σ = 75176654100480. Its totient is φ = 66823556597568.

The previous prime is 71000101100963. The next prime is 71000101101071. The reversal of 71000101101001 is 10010110100017.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71000101101001 - 2¹⁷ = 71000100969929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71000101101071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24918520 + ... + 27621238.

It is an arithmetic number, because the mean of its divisors is an integer number (9397081762560).

Almost surely, 2^{71000101101001} is an apocalyptic number.

It is an amenable number.

71000101101001 is a deficient number, since it is larger than the sum of its proper divisors (4176552999479).

71000101101001 is a wasteful number, since it uses less digits than its factorization.

71000101101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248023.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 71000101101001 its reverse (10010110100017), we get a palindrome (81010211201018).

The spelling of 71000101101001 in words is "seventy-one trillion, one hundred one million, one hundred one thousand, one".