71001101000101 has 16 divisors (see below), whose sum is σ = 71459897640768. Its totient is φ = 70543893600000.

The previous prime is 71001101000041. The next prime is 71001101000117. The reversal of 71001101000101 is 10100010110017.

It is a cyclic number.

It is not a de Polignac number, because 71001101000101 - 2⁷ = 71001100999973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71001101004101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184597350 + ... + 184981576.

It is an arithmetic number, because the mean of its divisors is an integer number (4466243602548).

Almost surely, 2^{71001101000101} is an apocalyptic number.

It is an amenable number.

71001101000101 is a deficient number, since it is larger than the sum of its proper divisors (458796640667).

71001101000101 is a wasteful number, since it uses less digits than its factorization.

71001101000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386292.

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

Adding to 71001101000101 its reverse (10100010110017), we get a palindrome (81101111110118).

The spelling of 71001101000101 in words is "seventy-one trillion, one billion, one hundred one million, one hundred one", and thus it is an aban number.