100101801 has 8 divisors (see below), whose sum is σ = 134068480. Its totient is φ = 66434832.

The previous prime is 100101767. The next prime is 100101803. The reversal of 100101801 is 108101001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100101801 - 2⁹ = 100101289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74146 + ... + 75483.

It is an arithmetic number, because the mean of its divisors is an integer number (16758560).

Almost surely, 2^100101801 is an apocalyptic number.

It is an amenable number.

100101801 is a deficient number, since it is larger than the sum of its proper divisors (33966679).

100101801 is a wasteful number, since it uses less digits than its factorization.

100101801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149855.

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

The square root of 100101801 is about 10005.0887552285. The cubic root of 100101801 is about 464.3163360722.

Adding to 100101801 its reverse (108101001), we get a palindrome (208202802).

It can be divided in two parts, 10010 and 1801, that added together give a palindrome (11811).

The spelling of 100101801 in words is "one hundred million, one hundred one thousand, eight hundred one".