10214124300 has 180 divisors, whose sum is σ = 33178345200. Its totient is φ = 2718161280.

The previous prime is 10214124293. The next prime is 10214124301. The reversal of 10214124300 is 342141201.

10214124300 is a `hidden beast` number, since 10 + 214 + 12 + 430 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10214124301) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5239726 + ... + 5241674.

It is an arithmetic number, because the mean of its divisors is an integer number (184324140).

Almost surely, 2^10214124300 is an apocalyptic number.

10214124300 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 10214124300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16589172600).

10214124300 is an abundant number, since it is smaller than the sum of its proper divisors (22964220900).

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

10214124300 is a wasteful number, since it uses less digits than its factorization.

10214124300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10214124300 its reverse (342141201), we get a palindrome (10556265501).

The spelling of 10214124300 in words is "ten billion, two hundred fourteen million, one hundred twenty-four thousand, three hundred".