810100101 has 8 divisors (see below), whose sum is σ = 1080272160. Its totient is φ = 539997392.

The previous prime is 810100097. The next prime is 810100117. The reversal of 810100101 is 101001018.

It is a happy number.

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 810100101 - 2² = 810100097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810100141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24010 + ... + 46868.

It is an arithmetic number, because the mean of its divisors is an integer number (135034020).

Almost surely, 2^810100101 is an apocalyptic number.

It is an amenable number.

810100101 is a deficient number, since it is larger than the sum of its proper divisors (270172059).

810100101 is a wasteful number, since it uses less digits than its factorization.

810100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34675.

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 810100101 is about 28462.2574824978. The cubic root of 810100101 is about 932.2081498441.

Adding to 810100101 its reverse (101001018), we get a palindrome (911101119).

It can be divided in two parts, 8 and 10100101, that multiplied together give a palindrome (80800808).

The spelling of 810100101 in words is "eight hundred ten million, one hundred thousand, one hundred one".