20100010320 has 240 divisors, whose sum is σ = 76521768960. Its totient is φ = 4687248384.

The previous prime is 20100010279. The next prime is 20100010321. The reversal of 20100010320 is 2301000102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100010321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121329 + ... + 234351.

It is an arithmetic number, because the mean of its divisors is an integer number (318840704).

Almost surely, 2^20100010320 is an apocalyptic number.

20100010320 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 20100010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38260884480).

20100010320 is an abundant number, since it is smaller than the sum of its proper divisors (56421758640).

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

20100010320 is a wasteful number, since it uses less digits than its factorization.

20100010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113074 (or 113065 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20100010320 its reverse (2301000102), we get a palindrome (22401010422).

The spelling of 20100010320 in words is "twenty billion, one hundred million, ten thousand, three hundred twenty".