10009101820 has 48 divisors (see below), whose sum is σ = 22080340800. Its totient is φ = 3803841536.

The previous prime is 10009101799. The next prime is 10009101821. The reversal of 10009101820 is 2810190001.

It is a junction number, because it is equal to n+sod(n) for n = 10009101791 and 10009101800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009101821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4477 + ... + 141556.

It is an arithmetic number, because the mean of its divisors is an integer number (460007100).

Almost surely, 2^10009101820 is an apocalyptic number.

10009101820 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 10009101820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11040170400).

10009101820 is an abundant number, since it is smaller than the sum of its proper divisors (12071238980).

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

10009101820 is a wasteful number, since it uses less digits than its factorization.

10009101820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146214 (or 146212 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 10009101820 its reverse (2810190001), we get a palindrome (12819291821).

The spelling of 10009101820 in words is "ten billion, nine million, one hundred one thousand, eight hundred twenty".