101300020 has 48 divisors (see below), whose sum is σ = 224985600. Its totient is φ = 38206080.

The previous prime is 101299999. The next prime is 101300051. The reversal of 101300020 is 20003101.

It is a junction number, because it is equal to n+sod(n) for n = 101299976 and 101300012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101725 + ... + 102715.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2^101300020 is an apocalyptic number.

101300020 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 101300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

101300020 is an abundant number, since it is smaller than the sum of its proper divisors (123685580).

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

101300020 is a wasteful number, since it uses less digits than its factorization.

101300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1286 counting only the distinct ones).

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

The square root of 101300020 is about 10064.7911056316. The cubic root of 101300020 is about 466.1616157363.

Adding to 101300020 its reverse (20003101), we get a palindrome (121303121).

The spelling of 101300020 in words is "one hundred one million, three hundred thousand, twenty".