10206425112300 has 180 divisors, whose sum is σ = 33139720102720. Its totient is φ = 2717228177280.

The previous prime is 10206425112259. The next prime is 10206425112329. The reversal of 10206425112300 is 321152460201.

10206425112300 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 425 + 1 + 1 + 230 + 0 = 666.

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

It is a super-2 number, since 2×10206425112300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3878766 + ... + 5954634.

Almost surely, 2^{10206425112300} is an apocalyptic number.

10206425112300 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 10206425112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16569860051360).

10206425112300 is an abundant number, since it is smaller than the sum of its proper divisors (22933294990420).

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

10206425112300 is a wasteful number, since it uses less digits than its factorization.

10206425112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076502 (or 2076486 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10206425112300 its reverse (321152460201), we get a palindrome (10527577572501).

The spelling of 10206425112300 in words is "ten trillion, two hundred six billion, four hundred twenty-five million, one hundred twelve thousand, three hundred".