101808101 has 4 divisors (see below), whose sum is σ = 102816204. Its totient is φ = 100800000.

The previous prime is 101808059. The next prime is 101808103.

101808101 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 10090²+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 97812100 + 3996001 = 9890^2 + 1999^2 .

It is a cyclic number.

It is not a de Polignac number, because 101808101 - 2¹⁴ = 101791717 is a prime.

101808101 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101808103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 503900 + ... + 504101.

It is an arithmetic number, because the mean of its divisors is an integer number (25704051).

Almost surely, 2^101808101 is an apocalyptic number.

It is an amenable number.

101808101 is a deficient number, since it is larger than the sum of its proper divisors (1008103).

101808101 is a wasteful number, since it uses less digits than its factorization.

101808101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008102.

The product of its (nonzero) digits is 64, while the sum is 20.

The square root of 101808101 is about 10090.0000495540. Note that the first 4 decimals coincide. The cubic root of 101808101 is about 466.9396773828.

It can be divided in two parts, 10180 and 8101, that added together give a palindrome (18281).

The spelling of 101808101 in words is "one hundred one million, eight hundred eight thousand, one hundred one".