20101300 has 36 divisors (see below), whose sum is σ = 44372160. Its totient is φ = 7901920.

The previous prime is 20101283. The next prime is 20101309. The reversal of 20101300 is 310102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4197 + ... + 7603.

It is an arithmetic number, because the mean of its divisors is an integer number (1232560).

Almost surely, 2^20101300 is an apocalyptic number.

20101300 is a gapful number since it is divisible by the number (20) 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 20101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22186080).

20101300 is an abundant number, since it is smaller than the sum of its proper divisors (24270860).

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

20101300 is a wasteful number, since it uses less digits than its factorization.

20101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 20101300 is about 4483.4473343623. The cubic root of 20101300 is about 271.8992742672.

Adding to 20101300 its reverse (310102), we get a palindrome (20411402).

The spelling of 20101300 in words is "twenty million, one hundred one thousand, three hundred".