71001010100 has 72 divisors (see below), whose sum is σ = 157214500128. Its totient is φ = 27822787200.

The previous prime is 71001010057. The next prime is 71001010133. The reversal of 71001010100 is 101010017.

It is a super-2 number, since 2×71001010100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3652607 + ... + 3671993.

It is an arithmetic number, because the mean of its divisors is an integer number (2183534724).

Almost surely, 2^71001010100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71001010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78607250064).

71001010100 is an abundant number, since it is smaller than the sum of its proper divisors (86213490028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71001010100 is a wasteful number, since it uses less digits than its factorization.

71001010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20145 (or 20138 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 11.

Adding to 71001010100 its reverse (101010017), we get a palindrome (71102020117).

The spelling of 71001010100 in words is "seventy-one billion, one million, ten thousand, one hundred".