101001800 has 48 divisors (see below), whose sum is σ = 237157440. Its totient is φ = 40000320.

The previous prime is 101001793. The next prime is 101001839. The reversal of 101001800 is 8100101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18149 + ... + 23051.

It is an arithmetic number, because the mean of its divisors is an integer number (4940780).

Almost surely, 2^101001800 is an apocalyptic number.

101001800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101001800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118578720).

101001800 is an abundant number, since it is smaller than the sum of its proper divisors (136155640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101001800 is a wasteful number, since it uses less digits than its factorization.

101001800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 101001800 is about 10049.9651740690. The cubic root of 101001800 is about 465.7037173043.

Adding to 101001800 its reverse (8100101), we get a palindrome (109101901).

The spelling of 101001800 in words is "one hundred one million, one thousand, eight hundred".