82801101 has 24 divisors (see below), whose sum is σ = 120059104. Its totient is φ = 50722560.

The previous prime is 82801063. The next prime is 82801109. The reversal of 82801101 is 10110828.

It is not a de Polignac number, because 82801101 - 2¹⁴ = 82784717 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 (82801109) 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 23 ways as a sum of consecutive naturals, for example, 36171 + ... + 38391.

Almost surely, 2^82801101 is an apocalyptic number.

It is an amenable number.

82801101 is a deficient number, since it is larger than the sum of its proper divisors (37258003).

82801101 is a wasteful number, since it uses less digits than its factorization.

82801101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 82801101 is about 9099.5110308192. The cubic root of 82801101 is about 435.8583500937.

Adding to 82801101 its reverse (10110828), we get a palindrome (92911929).

The spelling of 82801101 in words is "eighty-two million, eight hundred one thousand, one hundred one".