10114200320 has 288 divisors, whose sum is σ = 30601525248. Its totient is φ = 3120758784.

The previous prime is 10114200293. The next prime is 10114200347. The reversal of 10114200320 is 2300241101.

It is an interprime number because it is at equal distance from previous prime (10114200293) and next prime (10114200347).

It is a super-2 number, since 2×10114200320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10114200295 and 10114200304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3501917 + ... + 3504803.

It is an arithmetic number, because the mean of its divisors is an integer number (106255296).

Almost surely, 2^10114200320 is an apocalyptic number.

10114200320 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 10114200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15300762624).

10114200320 is an abundant number, since it is smaller than the sum of its proper divisors (20487324928).

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

10114200320 is a wasteful number, since it uses less digits than its factorization.

10114200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10114200320 its reverse (2300241101), we get a palindrome (12414441421).

The spelling of 10114200320 in words is "ten billion, one hundred fourteen million, two hundred thousand, three hundred twenty".