10414122300 has 216 divisors, whose sum is σ = 34527234560. Its totient is φ = 2618179200.

The previous prime is 10414122289. The next prime is 10414122311. The reversal of 10414122300 is 322141401.

10414122300 is a `hidden beast` number, since 10 + 414 + 12 + 230 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10414122289) and next prime (10414122311).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3811935 + ... + 3814665.

Almost surely, 2^10414122300 is an apocalyptic number.

10414122300 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 10414122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17263617280).

10414122300 is an abundant number, since it is smaller than the sum of its proper divisors (24113112260).

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

10414122300 is a wasteful number, since it uses less digits than its factorization.

10414122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2983 counting only the distinct ones).

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

Adding to 10414122300 its reverse (322141401), we get a palindrome (10736263701).

The spelling of 10414122300 in words is "ten billion, four hundred fourteen million, one hundred twenty-two thousand, three hundred".