800101071 has 96 divisors (see below), whose sum is σ = 1520902656. Its totient is φ = 408240000.

The previous prime is 800101067. The next prime is 800101109. The reversal of 800101071 is 170101008.

It is not a de Polignac number, because 800101071 - 2² = 800101067 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800101871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1141021 + ... + 1141721.

It is an arithmetic number, because the mean of its divisors is an integer number (15842736).

Almost surely, 2^800101071 is an apocalyptic number.

800101071 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

800101071 is a deficient number, since it is larger than the sum of its proper divisors (720801585).

800101071 is a wasteful number, since it uses less digits than its factorization.

800101071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 800101071 is about 28286.0578907701. The cubic root of 800101071 is about 928.3568592451.

Adding to 800101071 its reverse (170101008), we get a palindrome (970202079).

The spelling of 800101071 in words is "eight hundred million, one hundred one thousand, seventy-one".