10123203201300 has 270 divisors, whose sum is σ = 38173047473022. Its totient is φ = 2313874926720.

The previous prime is 10123203201299. The next prime is 10123203201323. The reversal of 10123203201300 is 310230232101.

10123203201300 is a `hidden beast` number, since 1 + 0 + 1 + 23 + 20 + 320 + 1 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 30102944004 + 10093100257296 = 173502^2 + 3176964^2 .

It is a tau number, because it is divible by the number of its divisors (270).

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 (23) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 12355939 + ... + 13149738.

Almost surely, 2^{10123203201300} is an apocalyptic number.

10123203201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123203201300 is an abundant number, since it is smaller than the sum of its proper divisors (28049844271722).

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

10123203201300 is a wasteful number, since it uses less digits than its factorization.

10123203201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25505717 (or 25505694 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10123203201300 its reverse (310230232101), we get a palindrome (10433433433401).

The spelling of 10123203201300 in words is "ten trillion, one hundred twenty-three billion, two hundred three million, two hundred one thousand, three hundred".